Paper Copies via Google Citations, Research Gate.
[0] Spatial Spread and Front Propagation Dynamics of Nonlocal Monostable Equations in Periodic Habitats
(Ph.D. Dissertation; Adviser: Wenxian Shen).
[1] E. S. Van Vleck and A. Zhang, Transition Fronts of Fisher-KPP Equations in Locally Spatially Inhomogeneous Patchy Environments, Nonlinear Analysis, 2021 (47 pages, In press).
[2] A. Ackleh, I. Hossain, A. Veprauskas, A. Zhang, Persistence of A Discrete-time Predator-prey Model with Stage-Structure in the Predator, Progress on Difference Equations and Discrete Dynamical Systems, 2020 (In press).
[3] A. Ackleh, I. Hossain, A. Veprauskas, A. Zhang, Long-term Dynamics of Discrete-time Predator-prey Models: Stability of Equilibria, Cycles and Chaos, Journal of Difference Equations and Applications 26 (5), 693-726
[4] Patrick De Leenheer, Wenxian Shen and A. Zhang, Persistence and Extinction of Nonlocal Dispersal Evolution Equations in Moving Habitats, Nonlinear Analysis: Real World Applications (In press, Available online), 2020. http://arxiv.org/abs/1906.07881
[5] A. Ackleh, I. Hossain, A. Veprauskas, A. Zhang, Persistence and Stability Analysis of Discrete-time Predator-prey Models: A study of Population and Evolutionary Dynamics, Journal of Difference Equations and Applications, Journal of Difference Equations and Applications 25 (11), 1568-1603
[6] Y. Guo and A. Zhang, Existence and Nonexistence of Traveling Pulses in a Lateral Inhibition Neural Network, Discrete and Continuous Dynamical Systems B, Volume 21, Number 6, August 2016,1729-1755
[7] E.S. Van Vleck and A. Zhang, Competing Interactions and Traveling Wave Solutions in Lattice Differential Equations, Communications on Pure and Applied Analysis, 15 (2), 2016, 457-475.
[8] A. Vainchtein, E. S. Van Vleck and A. Zhang, Propagation of Periodic Patterns in a Discrete System with Competing Interactions, SIAM Journal on Applied Dynamical Systems, 14(2), 2015, 523–555. (33 pages)
[9] N. Rawal, W.Shen and A. Zhang, Spreading Speeds and Traveling Waves of Nonlocal Monostable Equations in Time and Space Periodic Habitats, Discrete and Continuous Dynamical Systems A, Volume 35, Number 4, April 2015, pp. 1609–1640.
[10] A. Zhang, Traveling Wave Solutions with Mixed Dispersal for Spatially Periodic Fisher-KPP Equations, Discrete and Continuous Dynamical Systems Supplement, (2013), pp.815-824.
[11] W. Shen and A. Zhang, Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations, Communications on Applied Nonlinear Analysis, Volume 19(2012), Number 3, 73-101.
[12] W. Shen and A. Zhang, Stationary Solutions and Spreading Speeds of Nonlocal Monostable Equations in Space Periodic Habitats, Proceedings of the American Mathematical Society, Volume 140, Number 5, May 2012, Pages 1681-1696.
[13] G. Hetzer, W. Shen and A. Zhang, Effects of Spatial Variations and Dispersal Strategies on the Spreading Speeds of Monostable Models in Periodic Habitats, Rocky Mountain Journal of Mathematics, 43 (2013), 489-513.
[14] W. Shen and A. Zhang, Spreading Speeds for Monostable Equations with Nonlocal Dispersal in Space Periodic Habitats, J. Differential Equations, 249 (2010), 747-795.
[15] J. Guan and A. Zhang, Integrated Innovation between Technology and Organization, China Soft Science (in Chinese), Dec 2002, Vol 12, 57-61.
[16] A. Zhang, The Optimal Strategy of Dispatching on the March, Proceedings of 2nd Annual Symposium on Mathematical Modeling (in Chinese), Military Academies in Nanjing Region, in Zhenjiang, Jiangsu Province, China in June 1997.
[17] J. Xu and A. Zhang, The Enumerative Algorithm of Selecting Address Technique in the Discrete Space, Proceedings of 2nd Annual Symposium on Mathematical Modeling (in Chinese), Military Academies in Nanjing Region, in Zhenjiang, Jiangsu Province, China in June 1997.
Submitted/Preprint
[18] Traveling Wave Solutions of Periodic Nonlocal Fisher-KPP Equations with Non-compact Asymmetric Kernel (Revision under review).
[19] E. S. Van Vleck and A. Zhang, Transition Fronts of Fisher-KPP Equations in Locally Spatially Inhomogeneous Patchy Environments II: Uniqueness and Stability, Preprint.
[20] A. Ackleh and A. Zhang, Continuous Multiple-Strain Pathogen Model with Diffusion on the Space of Measures (submitted)
[21] A. Ackleh, S. Sikder and A. Zhang, A Discrete-time Predator-Prey Model with Selection and Mutation, Preprint
In Preparation
[1] A. Ackleh, A. Veprauskas, S. Sikder and A. Zhang, Gulf Coast Tick Invasion
[2] Y. Guo and A. Zhang, Persistence of Traveling Pulses/Fronts in a Lateral Inhibition Neural Network
[3] Y. Guo and A. Zhang, Multi-bump Traveling Pulse Solutions in a Lateral Inhibition Neural Network
[4] E. S. Van Vleck and A. Zhang, Transition Fronts of Fisher-KPP Equations in Locally Perturbed Periodic Patchy Environments.