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Evolution of Dispersal in Advective Patchy Environments

https://doi.org/10.1007/s00332-023-09899-w

Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang (June 2023, Journal of Nonlinear Science)

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Maximizing Metapopulation Growth Rate and Biomass in Stream Networks

https://doi.org/10.1137/23M1556757

Nguyen, Tung D.; Wu, Yixiang; Veprauskas, Amy; Tang, Tingting; Zhou, Ying; Beckford, Charlotte; Chau, Brian; Chen, Xiaoyun; Rouhani, Behzad Djafari; Wu, Yuerong; et al (December 2023, SIAM Journal on Applied Mathematics)

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Two Novel proofs of Spectral Monotonicity of Perturbed Essentially Nonnegative Matrices with Applications in Population Dynamics

https://doi.org/10.1137/20M1345220

Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang (April 2022, SIAM Journal on Applied Mathematics)

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Global dynamics of a Lotka–Volterra competition patch model*

https://doi.org/10.1088/1361-6544/ac3c2e

Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang (December 2021, Nonlinearity)

Abstract The global dynamics of the two-species Lotka–Volterra competition patch model with asymmetric dispersal is classified under the assumptions that the competition is weak and the weighted digraph of the connection matrix is strongly connected and cycle-balanced. We show that in the long time, either the competition exclusion holds that one species becomes extinct, or the two species reach a coexistence equilibrium, and the outcome of the competition is determined by the strength of the inter-specific competition and the dispersal rates. Our main techniques in the proofs follow the theory of monotone dynamical systems and a graph-theoretic approach based on the tree-cycle identity.
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Coexistence of Competing Species for Intermediate Dispersal Rates in a Reaction–Diffusion Chemostat Model

https://doi.org/10.1007/s10884-019-09763-0

Shi, Junping; Wu, Yixiang; Zou, Xingfu (June 2020, Journal of Dynamics and Differential Equations)

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Asymptotic profiles of the steady states for an SIS epidemic patch model with asymmetric connectivity matrix

https://doi.org/10.1007/s00285-020-01497-8

Chen, Shanshan; Shi, Junping; Shuai, Zhisheng; Wu, Yixiang (June 2020, Journal of Mathematical Biology)

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