Editorships

- Associate editor for Frontiers in Applied Mathematics and Statistics, August 2023 - present
- Associate editor for MDPI Mathematics, April 2021 - present.
- Associate editor for Uzbek Mathematical Journal, Jan 2018 - present.
- Associate editor for Journal of Algebraic Statistics, Dec. 2009 - 2015.
- Co-edited an issue of Discrete and Continuous Dynamical Systems - S: Newly Developed Applied Mathematics and New Mathematics Arising from Biosciences with Murray Bremner, Reinhard Laubenbacher, and Banhe Li.

Refereeing and reviewing for the following journals

- Bulletin of Mathematical Biology
- Journal of Mathematical Biology
- Journal of Theoretical Biology
- Mathematical Medicine and Biology
- Mathematical Biosiences and Engineering
- Journal of the Royal Society Interface
- Physical Biology
- Applicable Analysis
- Journal of Mathematical Analysis and Applications
- Nonlinear Analysis Series B: Real World Applications
- Bioinformatics
- Transactions on Device and materials Reliability
- Computer and Mathematics with Application
- Discrete and Continuous Dynamical Systems
- Journal of Difference Equations and Applications
- Journal of the Franklin Institute
- Advance in Mathematics (Chinese)
- Linear Algebra and Its Applications
- Journal of Algebra
- Mathematics and Computers in Simulation
- Canadian Applied Math Quarterly
- Forum Mathematicum
- Archiv der Mathematik
- PloS ONE
- Oncolytic Virotherapy
- Epidemiology and Infection
- Applied Mathematics and Computation
- Springer Proceedings in Mathematics
- Computational and mathematical Methods in Medicine
- Filomat (Serbia)
- Journal of Biological Dynamics
- Mathematical Reviews
- Computers in Biology and Medicine
- Mathematical Biosciences
- Physics in Medicine and Biology
- Natural Resource Modeling
- Linear and Multilinear Algebra
- International Journal of Biomathematics
- Algebras and Representation Theory
- Mathematical and Computational Applications
- Scientific Reports
- International Immunopharmacology
- Biomedical Physics and Engineering Express
- Cancer Research
- International Journal of Dynamics and Control
- MDPI Mathematics
- Cogent Mathematics \& Statistics
- Statistics and Probability Letters
- Stochastics and Dynamics
- IMA Journal of Applied Mathematics
- Discrete and Continuous Dynamical Systems - B
- Statistics and Probability Letters
- Expositions Mathematicae
- Computational Biology and Chemistry
- Journal of Taibah University for Science
- Computers in Biology and Medicine
- Mathematics and Computers in Simulation
- Frontiers in Oncology
- Discrete Dynamics in Nature and Society
- Applied Sciences
- Computational and Mathematical Methods in Medicine
- Nonlinear Engineering. Modeling and Application
- Frontiers in Applied Mathematics and Statistics
- Critical Reviews in Eukaryotic Gene Expression
- Heliyon
- Boletin de la Sociedad Matematica Mexicana
- Journal of Algebra and its Applications
- Journal of Biological Systems
- Journal of Mathematical Analysis and Applications
- Theoretical Population Biology
- Acta Biotheoretica
- International Journal of Applied and Computational Mathematics.

Grant proposal reviewing for

- National Science Foundation (US), 2014, 2017, 2020; also Review Panelist in 2019, 2021, 2022, 2023.
- Kentucky Science & Engineering Foundation, 2015.
- Chilean National Science and Technology Commission, 2017.

Evaluator or reviewer for memberships

- The World Academy of Sciences for the advancement of science in developing countries, 2016.

Conferences/meetings co-/organized

- I co-organized with Murray Bremner, Reinhard Laubenbacher, and Banhe Li Special session on Biomathematics: Newly Developed Applied Mathematics and New Mathematics Arising from Biosciences in the First Joint International Meeting of the AMS and Shanghai Mathematical Society, Shanghai, China, December 17-21, 2008.
- I co-organized with Hongyu He and Sergei Pilyugin Special session on Mathematical Modeling in Biology at AMS Spring Southeastern Meeting at Baton Rouge, LA, March 28-30, 2008.
- I co-organized with Yang Kuang International symposium on Ecology, Evolution and Modeling of Disease Dynamics in Eco Summit 2007, Beijing, China, May 22-27, 2007.
- Organizer of the MBI Postdoctoral Seminar, spring, 2007.
- Co-organizer of Young Researchers Workshops in Mathematical Biology at the MBI, March, 12-15, 2007.
- Organizer of the mini-symposium on Quantitative Study of Disease Ecology in the Joint SIAM SMB Conference on the Life Sciences in North Carolina, July 31 - August 4, 2006.
- Organizer and major speaker of Graduate Seminar: "Quantum Group and Topology" at Department of Mathematics in University of California, Riverside, 2001.
- I am co-organizing the special session - Recent Advances in Computational and Mathematical Biology - with Fengzhu Sun and Mary Ballyk in AMS Fall Western Sectional Meeting in Fullerton CA, Oct 24-25, 2015.
- I co-organized the special session - Stochastic differential equations and applications of mathematical biology - in Joint Mathematics Meeting, Denver, Jan 15-18, 2020.
- I co-organized special session - on Stochastic Modeling in Mathematical Biology - AMS Fall Central Sectional Meeting, Virtual Meeting, Sept 12-13, 2020.
- I co-organized special session - on Stochastic dynamics: Theory and Applications in Biology - AMS Fall Central Sectional Meeting, University of Texas at El Paso, TX, September 17-18, 2022.
- I co-organizing special session - Recent advances in stochastic differential equation theory and its applications in modeling biological systems - the Joint Mathematics Meetings, San Francisco, California, January 3-6, 2024.

Other professional service for mathematics community

- Howard Hughes Medical Institute Subcommittee for Upper Division Courses and Majors in Quantitative Biology, July 2007 - July 2008.
- Program Committee for Statistical Data Mining and Machine Learning in Cancer Epidemiology and Cancer Bioinformatics of The Seventh International Conference on Machine Learning and Applications (ICMLA08), California.
- I agreed to stand for election of Life Sciences officer of Society of Industrial and Applied mathematics, and submitted my election statement, fall 2008.
- Outside Expert for Department of Mathematics in Southern University of Science and Technology, Shenzhen, China, 2019.

Invited talks in universities, national and international conferences

- Invited talk in AMS Fall Eastern Sectional Meeting, University at Buffalo (SUNY), Buffalo, NY, September 9-10, 2023.
- Invited lectures: Dynamical Perspectives of Algebra, Coalgebra, bialgebra, and Hopf Algebra, online, Shaanxi University of Technology, December 8, 2022.
- Invited talk in Special session on Stochastic dynamics: Theory and Applications in Biology - AMS Fall Central Sectional Meeting, University of Texas at El Paso, TX, September 17-18, 2022.
- Invited talk in the 7th International Conference on Random Dynamical Systems, Hanoi, Vietnam, June 21-25, 2022.
- Invited talk in the special session - Dissipative Systems and Their Applications - AMS Fall Western Sectional Meeting, Virtual Meeting, Oct 23-24, 2021.
- Invited talk in the special session - on Stochastic Modeling in Mathematical Biology - AMS Fall Central Sectional Meeting, Virtual Meeting, Sept 12-13, 2020.
- Invited seminar talk in Mathematics Department, New Mexico Institute of Mining and Technology, April, 2021.
- Invited lecture in Annual Meeting of Yunnan Mathematics Society, Wenshan, Yunnan, China, July 19-23, 2019.
- Invited lectures in School of Sciences Beijing University of civil Engineering \& Architecture, Beijing, China, July 6-10, 2019.
- Invited lecture in School of Mathematics, Harbin Institute of Technology, Harbin, China, July 4, 2019.
- Invited lecture in School of Mathematical Sciences, Heilongjiang University, Harbin, China, July 2-3, 2019.
- Invited lecture in School of Sciences, Harbin Institute of Technology - Weihai, Shandong, China June 28 - July 1, 2019.
- Invited lecture in the Center for Mathematical Sciences in Huazhong University Of Science And Technology, Wuhan, China, June 24-26, 2019.
- Invited lectures at School of Mathematics and Computer Sciences in Shaanxi University of Technology, Hanzhong, China, July 15-20, 2018.
- Invited talk at Department of Mathematics in Southern University of Science and Technology, Shenzhen, China, June 20-23, 2018.
- Invited talk at Department of Mathematics in Guangzhou University, Guangzhou, China, June 17 - 19, 2018.
- Invited lectures at school of Sciences in Beijing University of Civil Engineering and Architecture, Beijing, China, June 10 - June 16, 2018.
- Invited talk in Special Session on Mathematical Modeling and Analysis of Infectious Diseases at Joint Mathematics Meetings, San Diego, CA, January 9-14, 2018.
- Invited talk in International Conference on Random Dynamical Systems on occasion of Ludwig Arnold's 80th birthday at the Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan, China, June 23--28, 2017.
- Invited seminar talk in Mathematics Department, New Mexico Institute of Mining and Technology, November 7, 2016
- Invited seminar talk in Department of Biology, NMSU, October 1, 2015.
- Invited talk in Northwest University, Xi'an, China, June 29 - July 1, 2015.
- Invited talk in Beijing University of Civil Engineering and Architecture, Beijing, China, June 22 - June 28, 2015.
- Invited talks in Harbin Institute of Technology, Weihai, China, June 12 - June 21, 2015.
- Invited talk in the Ninth International Conference on Differential Equations and Dynamical Systems, Dallas TX, May 14-16, 2015.
- Invited lecture series of mathematical biology in Beijing University of Civil Engineering and Architecture, September 28 -29, 2014.
- Invited talk in Bio-math seminar at the Department of Mathematics and Applied Mathematics of Virginia Commonwealth University, April 5, 2013.
- Invited talk in the session of Modeling Complex Biological System: Theoretical and Computational Studies at 36th Annul SIAM Southeastern Atlantic Section Conference, Huntsville, Alabama, March 24-25, 2012.
- Invited lecture series of mathematical biology in Beijing University of Civil Engineering and Architecture, five lectures and each lecture was two hours. One lecture took place in December 27, 2011, and four lectures took place in January 6 - 10, 2012.
- Invited talk on a mathematical model of oncolytic virotherapy in the Department of Mathematics at Yunnan University, Kunming, China, August 12, 2011.
- Invited lecture on modeling of mathematical biology in Department of Mathematics at Beijing University of Science and Technology, Beijing, China, July 20, 2011.
- Two invited lectures on mathematical analysis of oncolytic virotherapy in Department of Mathematics at Harbin Institute of Technology, Weihai, China, July 14-01, 2011.
- Invited talk on a model of plant invasion in the School of Life Science at Zhongshan University (Sun Yat-sen University), Guangzhou, China, June 23, 2011.
- Invited lecture for talented undergraduate students on mathematical modeling and applications at Northwest A \& F University, Yangling, China, June 14, 2011.
- Invited talk on applied mathematics in the College of Science at Northwest A \& F University, Yangling, China, June 14, 2011.
- Invited talk in Department of Mathematics at Northwest University, Xi'an, China, June 9, 2011.
- Invited lecture on mathematical biology in the College of Science at Xi'an Jiaotong University, Xi'an City, China, June 8, 2011.
- Mathematical seminar talk in Department of Mathematics at University of California, Davis, March 28, 2011.
- Seminar talk in Department of Botany and Plant Sciences, University of California, Riverside, March 23, 2011.
- Featured speaker in Tenth Annual Red Raider Mini-symposium at Texas Tech University, Oct. 28-30, 2010.
- Invited talk in AMS Fall Southeastern Section Meeting: special session on Mathematical Models in Biology and Medicine, Richmond, VA, Nov. 6-7, 2010.
- Invited talk in AMS Fall Southeastern Section Meeting: special session on Differential Equations and Applications to Physics and Biology, Richmond, VA, Nov. 6-7, 2010.
- Invited talk in 2010 SIAM Great Lakes Conference: Modeling and Numerical PDEs in Mathematical Biology, University of Michigan, Dearborn, April 17, 2010.
- Invited laboratory talk in Ting Xie's lab at Stowers Institute for Medical Research, Kansas City, July 3 - 11, 2010.
- Invited talk in the special session on Knotting Around Dimension Three: A Special Session in Memory of Xiao-Song Lin in AMS 2009 Fall Western Section Meeting at Riverside, CA, November 7-8, 2009.
- Colloquium talk in Department of Mathematics at Christopher Newport University, October 21, 2009.
- Invited lectures in Department of Mathematics at Yunnan University, Kunming, China, July 24-30, 2009.
- Keynote Speaker in the Annual Conference of Yunnan Mathematical Society, Zhaotong city, Yunnan, China, July 20-23, 2009.
- Invited lectures in Department of Mathematics at Northwest University, Xi'an, China, July 1-16, 2009.
- Invited talk in School of Life Science at Zhongshan University, Guangzhou, China, June 29-30, 2009.
- Invited talk in "International Workshop on Reaction-Diffusion Models and Mathematical Biology" at Harbin Institute of Technology and Harbin Normal University, Harbin, Helongjiang, China, June 25-27, 2009.
- Invited talk in "11th international conference on molecular systems biology" at CAS-MPG Partner Institute for Computational Biology, Shanghai, China, June 21-25, 2009.
- Invited talk in Department of Mathematics and the Center of System Biology at Suzhou University, Suzhou, China, June 19-21, 2009.
- Invited talk in Department of Mathematics at DongHua University, Shanghai, June 18-19, 2009.
- Invited talk in the Joint Meeting of Society for Mathematical Biology and Chinese Society for Mathematical Biology, Zhejiang University, Hangzhou, China, June 14 - 17, 2009.
- Seminar talk in Department of Mathematics and Statistics at the Old Dominion University, Norfolk, VA, April 24, 2009.
- Invited talk in Life Science School at Beijing University of Technology, Beijing, China, January 6, 2009.
- Invited talk in Department of Mathematics at Northwest University, Xi'an, China, December 30, 2008.
- Invited talk in Department of Mathematics at Guizhou University, Guiyang, China, December 26, 2008.
- Organizing and talk in special session on Biomathematics: Newly Developed Applied Mathematics and New mathematics Arising from Biology in the First Joint International Meeting of American Mathematical Society and Shanghai Mathematical Society, Shanghai, China, December 17-21, 2008.
- Invited talk in Yunnan University, Kunming, Yunnan, China, December 24, 2008.
- Seminar talk in the Department of Mathematics at the George Washington University, Washington DC, November 11, 2008.
- Invited talk in the minisymposium on Modeling of Gene Regulatory Network and Cellular Signaling at SIAM Conference Life Sciences, Montreal, Quebec, Canada, August 4-7, 2008.
- Invited talk in the minisymposium on Modeling Epidemics and Infectious Diseases: Recent Advances in Theoretical Immunology and Epidemiology at SIAM Conference Life Sciences, Montreal, Quebec, Canada, August 4-7, 2008.
- Invited talk in the special session on Dynamical Systems in Biology and Medicine at 7th AIMS International Conference on Dynamical Systems Differential Equations and Applications, Arlington, Texas, May 18-21.
- Invited talk in the special session on Nonlinear Elliptic and Parabolic PDEs with Application at 7th AIMS International Conference on Dynamical Systems Differential Equations and Applications, Arlington, Texas, May 18-21.
- Seminar talk in Mathematical Biology Seminar at the University of British Columbia, Vancouver, Canada, March 13, 2008.
- Talk in 2008 AMS Spring Southeastern Meeting Baton Rouge, LA, March 28-30, 2008.
- Colloquium talk in National Institute of Health, National Center for Biotechnology Information, Bethesda, Maryland, November 2007.
- Talk in the international symposium on "Ecology, Evolution and Modeling of Disease Dynamics" in Eco Summit 2007, Beijing, China, May 22 -27, 2007.
- Colloquium talk in the Institute of Tumor Study and Hospital of Tumor Prevention of Shaanxi Provence, Xi'an City, China, June 4, 2007.
- Colloquium talk in the Center for Nonlinear Studies and Mathematics Department at Northwest University, Xi'an City, China, June 6, 2007.
- Invited talk in the College of Applied Science and College of Life Science and Bio-engineering at Beijing University of Technology, Beijing, China, May 21, 2007.
- Invited talk in School of Sciences at Xi'an Shiyou University, Xi'an City, China, June 1, 2007.
- Invited laboratory talk in Ting Xie's lab, Stowers Institute for Medical Research, Kansas City, December 21, 2007.
- Invited talk in Computational and Applied Mathematics Seminar at Mathematics Department, Iowa State University on Nov. 7, 2006.
- I was invited to give a talk in the Departmental Colloquium at Mathematics Department, University of Cincinnati on Nov. 9, 2006.
- I was invited to give a talk in AMS 2006 Fall Central Section Meeting, Cincinnati Ohio, Oct 21-22, 2006.
- I was invited to give a talk in Summer Seminar Series on Disease Ecology, Department of Botany and Plant Sciences at University of California, Riverside, August 21 - 24, 2006.
- Talk at the mini-symposium in the Joint SIAM-SMB conference on the Life Sciences, Raleigh, North Carolina, July 31-August 4, 2006.
- I was invited to give a talk in AMS Special Session on Mathematical Biology, University of Notre Dame, April 8-9, 2006.
- I was invited to give a talk in the Special Session on Mathematical Biology and Epidemics at the Joint Mathematics Meetings (AMS/MAA) in San Antonio, TX, January 12-15, 2006.
- I was invited to give a talk in the Special Session on Quantum Invariants of Knots and 3-Manifolds at the Joint Mathematics Meetings (AMS/MAA) in San Antonio, TX, January 12-15, 2006.
- I was invited to give a talk in the Special Session on Algebraic Statistics at the Joint Mathematics Meetings (AMS/MAA) in San Antonio, TX, January 12-15, 2006.
- I was invited to give a talk at Mile High International Conference on Quasigroups, Loops and Nonassociative Systems in Denver, Colorado, July 2-9, 2005.
- I was invited to give a talk in the Special Session on Stochastic, Large-Scale and Hybrid Systems at the Joint Mathematics Meeting(AMS/MAA) in Atlanta, Georgia, January 4-8, 2005.
- I was invited to give a talk in the Special Session on Nonassociative Algebras at the Joint Mathematics Meetings (AMS/MAA) in Phoenix, Arizona, January 7-10, 2004.
- I was invited to give a talk in AIMS' fifth International Conference on Dynamical Systems and Differential Equations at Pomona, California, June 16-19, 2004.

Other Talks

- Seminar talk in the Department of Mathematics at the College of William and Mary, November 9, 2007: Braid Group.
- Postdoctoral Seminar at the Mathematical Biosciences Institute (MBI), the Ohio State University. Title: Colored Coalescent Theory, Feb. 10, 2005.
- Postdoctoral Seminar at the MBI, the Ohio State University, Title: Coalgebraic Structure of Genetic Inheritance, April 14, 2005.
- Postdoctoral Seminar at the MBI, the Ohio State University, Title: Evolution Algebra Theory, Dec. 9, 2005.
- Ecological Scaling Seminar in the Department of Botany and Plant Science at University of California, Riverside, Title: Wavelets in Investigating the Relationship between Genome Structure, Composition and Ecology in Prokaryotes, Spring quarter, 2003.
- Mathematical Physics Seminar in Department of Mathematics at University of California, Riverside, Title: Some Aspects of Einstein's Theory-Relativity, Winter quarter, 2001.
- Topology Seminar in Department of Mathematics at UC Riverside, Title: Heegaard Decomposition of 3-manifolds, Winter quarter,

2001. - Topology Seminar in Department of Mathematics at UC Riverside, Title: The Total Curvature of Knots, Spring quarter, 2001.
- Topology Seminar in Department of Mathematics at UC Riverside, Title: Representations of Braid Groups, Fall quarter, 2001.
- Topology Seminar in Department of Mathematics at UC Riverside, Title: Statistics of Knots, part I, Winter quarter, 2002.
- Topology Seminar in Department of Mathematics at UC Riverside, Title: Statistics of Knots, part II, Spring quarter, 2002.

Research visits, Workshops, Journal Clubs, Tutorials

- Invited participant of Math Biology: Looking at the Future at the Mathematical Biosciences Institute, the Ohio State University, September 19-21, 2012.
- Department of Mathematical and Statistical Sciences, University of Alberta, April 1 - 8, 2011.
- National Institute for Mathematical and Biological Synthesis (NIMBios), Investigative Workshop: Modeling Toxoplasm Gondii, May 13-15, 2010.
- National Center for Biotechnology Information of NIH, Bethesda, MD, September 18 - 20, 2009.
- Academy of Mathematics and Systems Science, the Chinese Academy of Sciences, Beijing, China, January 3-8, 2009.
- Department of Mathematics at UC Santa Barbara, California, Santa Barbara, May 25 - 31, 2008.
- Center for Nonlinear Studies at Northwest University, Third International Workshop on Nonlinear PDEs: Analysis, Computation and Applications, Xi'an City, China, December 27 - 31, 2008.
- Dardinger Cancer Seminar (E.A Chiocca group) every Monday from March 2005 to March 2007, Department of Neurological Surgery, the Ohio State University.
- MBI Workshop Cardiac Electrophysiology and Arrhythmia, September 25-29, 2006.
- MBI Workshop Global Ecology, June 26 - 30, 2006.
- MBI Workshop Uncertainty in Ecological Analysis, April 3-6, 2006.
- Second Young Researchers Workshop in Mathematical Biology, March 27 - 30, 2006
- MBI Workshop Spatial Ecology, March 13 - 17, 2006.
- MBI Workshop Spatial Heterogeneity in Biotic and Abiotic Environment: Effects on Species Ranges, Co-evolution, and Speciation February 6 - 10, 2006
- MBI Workshop the Problems of Phylogenetic Analysis of Large Datasets, December 1 - 2, 2005.
- MBI Workshop Aspects of Self-Organization in Evolution, Nov. 14 - 18, 2005.
- MBI Workshop Phylogeography and Phylogenetics, Sept 26 -3 0, 2005.
- Tutorial Tree Reconstruction and Coalescence Theory, September 7 - 9 and 12 - 13, 2005.
- MBI Workshop Recombination: Hotspots and Haplotype Structure, June 13 - 16, 2005.
- Tumor Dynamics Workshop in the University of Michigan, Ann Arbor, Michigan, spring 2005.
- Current Topics Workshop - Enzyme Dynamics and Function, May 19 - 21, 2005.
- MBI Workshop Biomarkers in HIV and Cancer Research, April 18 - 22, 2005.
- First Young Researchers Workshop in Mathematical Biology, March 29 - April 1, 2005.
- MBI Workshop Emerging Genomic Technologies and Data Integration Problems, February 21 - 24, 2005
- MBI Workshop Computational Proteomics and Mass Spectrometry, January 11 - 14, 2005.
- MBI and MRI Mini-workshop Quantitative Mathematical Modeling of Gene Regulatory Networks, December 2 - 4, 2004.
- MBI Workshop Regulatory Networks, November 8 - 12, 2004.
- MBI Workshop Analysis of Gene Expression Data: Principles and Applications, October 11 - 15, 2004.
- MBI Tutorial on Microarrays, September 13 - 17, 2004.
- Genetics Club in Statistics Department, the Ohio State University, fall 2004, winter 2005.
- Mathematical Biology Conference at Harvey Mudd College, California, Fall 2003.
- "Coalescent theory" discussion at Michael Clegg's lab in Department of Botany and Plant Science at University of California, Riverside, summer 2002.
- AMS section conference at Nevada University, spring, 2001.
- AMS section conference at University of California, Irvine, fall, 2001.
- AMS section conference at University of California, Santa Barbara, spring, 2000.
- The Southern California Topology Colloquium at Cal Tech, Fall 1999.

Recruitment talks gave during January to March 2007

115. Penn State University, University park, math position

116. University of Delaware, math position

117. Worcester Polytechnic Institute, math position

118. University of Alabama, math position

119. Old Dominion University, math position

120. College of William and Mary, math position

121. George Mason University, math position

122. University of North Carolina, math position

123. University of Texas, math position

124. Howard University, math positionJob talks gave during January 2011 to December 2013

125. New York University, Courant Institute of Mathematical Sciences

126. City University of New York, Queens College, and Graduate Center

127. Iowa State University, Department of Mathematics

128. University of South Florida St. petersburg, departmental chair position

129. Portland State University, Department of Mathematics, Maseeh Chair position

130. New Mexico State University, Department of Mathematical Sciences

Updateed in 2023

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