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

Journal of mathematical biology, 2020-06, Vol.80 (7), p.2327-2361

2020

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GLOBAL STABILITY OF INFECTIOUS DISEASE MODELS USING LYAPUNOV FUNCTIONS

SIAM journal on applied mathematics, 2013-01, Vol.73 (4), p.1513-1532

2013

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Evolution of Dispersal in Advective Patchy Environments

Journal of nonlinear science, 2023-06, Vol.33 (3), Article 40

2023

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Global stability of multi-group epidemic models with distributed delays

Journal of mathematical analysis and applications, 2010, Vol.361 (1), p.38-47

2010

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A graph-theoretic approach to the method of global Lyapunov functions

Proceedings of the American Mathematical Society, 2008-08, Vol.136 (8), p.2793-2802

2008

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Dynamics of an age-of-infection cholera model

Mathematical biosciences and engineering : MBE, 2013-10, Vol.10 (5-6), p.1335-1349

2013

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Extending the type reproduction number to infectious disease control targeting contacts between types

Journal of mathematical biology, 2013-11, Vol.67 (5), p.1067-1082

2013

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A mathematical model of syphilis transmission in an MSM population

Mathematical biosciences, 2016-07, Vol.277, p.59-70

2016

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Global-stability problem for coupled systems of differential equations on networks

Journal of Differential Equations, 2010, Vol.248 (1), p.1-20

2010

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A mathematical model for Vibrio-phage interactions

Mathematical biosciences and engineering : MBE, 2021-03, Vol.18 (3), p.2688-2712

2021

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Global dynamics of a Lotka–Volterra competition patch model

Nonlinearity, 2022-02, Vol.35 (2), p.817-842

2022

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Optimization problems for general simple population with n-impulsive harvest

Journal of mathematical analysis and applications, 2007-05, Vol.329 (1), p.634-646

2007

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

SIAM journal on applied mathematics, 2022-04, Vol.82 (2), p.654-676

2022

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Impact of Varying Community Networks on Disease Invasion

SIAM journal on applied mathematics, 2021-01, Vol.81 (3), p.1166-1189

2021

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Global dynamics of cholera models with differential infectivity

Mathematical biosciences, 2011-12, Vol.234 (2), p.118-126

2011

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Global dynamics of a Lotka–Volterra competition patch model S Chen is supported by National Natural Science Foundation of China (Nos. 12171117 and 11771109) and Shandong Provincial Natural Science Foundation of China (No. ZR2020YQ01), J Shi is supported by US-NSF Grant DMS-1715651 and DMS-1853598, and Z Shuai is supported by US-NSF Grant DMS-1716445

Nonlinearity, 2021-12, Vol.35 (2), p.817-842

2021

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A general theory for target reproduction numbers with applications to ecology and epidemiology

Journal of mathematical biology, 2019-06, Vol.78 (7), p.2317-2339

2019

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Impact of resource distributions on the competition of species in stream environment

Journal of mathematical biology, 2023-10, Vol.87 (4), p.62-62, Article 62

2023

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ROLE OF SPACE IN AN ECO-EPIDEMIC PREDATOR-PREY SYSTEM WITH THE EFFECT OF FEAR AND SELECTIVE PREDATION

Journal of biological systems, 2023-09, Vol.31 (3), p.883-920

2023

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GLOBAL DYNAMICS OF A GENERAL CLASS OF MULTISTAGE MODELS FOR INFECTIOUS DISEASES

SIAM journal on applied mathematics, 2012-01, Vol.72 (1), p.261-279

2012

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A cholera model in a patchy environment with water and human movement

Mathematical biosciences, 2013-11, Vol.246 (1), p.105-112

2013

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Maximizing Metapopulation Growth Rate and Biomass in Stream Networks

SIAM journal on applied mathematics, 2023-01, Vol.83 (6), p.2145-2168

2023

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Modelling and control of cholera on networks with a common water source

Journal of biological dynamics, 2015-06, Vol.9 (sup1), p.90-103

2015

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Cholera Models with Hyperinfectivity and Temporary Immunity

Bulletin of mathematical biology, 2012-10, Vol.74 (10), p.2423-2445

2012

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Reproduction numbers for infections with free-living pathogens growing in the environment

Journal of biological dynamics, 2012-01, Vol.6 (2), p.923-940

2012

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

GLOBAL STABILITY OF INFECTIOUS DISEASE MODELS USING LYAPUNOV FUNCTIONS

Evolution of Dispersal in Advective Patchy Environments

Global stability of multi-group epidemic models with distributed delays

A graph-theoretic approach to the method of global Lyapunov functions

Dynamics of an age-of-infection cholera model

Extending the type reproduction number to infectious disease control targeting contacts between types

A mathematical model of syphilis transmission in an MSM population

Global-stability problem for coupled systems of differential equations on networks

A mathematical model for Vibrio-phage interactions

Global dynamics of a Lotka–Volterra competition patch model

Optimization problems for general simple population with n-impulsive harvest

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

Impact of Varying Community Networks on Disease Invasion

Global dynamics of cholera models with differential infectivity

A general theory for target reproduction numbers with applications to ecology and epidemiology

Impact of resource distributions on the competition of species in stream environment

ROLE OF SPACE IN AN ECO-EPIDEMIC PREDATOR-PREY SYSTEM WITH THE EFFECT OF FEAR AND SELECTIVE PREDATION

GLOBAL DYNAMICS OF A GENERAL CLASS OF MULTISTAGE MODELS FOR INFECTIOUS DISEASES

A cholera model in a patchy environment with water and human movement

Maximizing Metapopulation Growth Rate and Biomass in Stream Networks

Modelling and control of cholera on networks with a common water source

Cholera Models with Hyperinfectivity and Temporary Immunity

Reproduction numbers for infections with free-living pathogens growing in the environment

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