Invasion dynamics of a predator-prey system in closed advective environments

Wang, Jinfeng; Nie, Hua

doi:10.1016/j.jde.2022.02.043

Cited by 19 publications

(3 citation statements)

References 56 publications

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“…Based on [5], some mathematicians studied the dynamics of the predator-prey model in open advective environments further [12,25,26,34]. Furthermore, Wang et al in [27,33] investigated the dynamics of some predator-prey models in closed advective environments and obtained some significant outcomes.…”

Section: Introductionmentioning

confidence: 99%

Effects of Diffusion and Advection on Predator-Prey Dynamics in Closed Environments

Nie

Xin

Shu

2023

Preprint

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Section: Introductionmentioning

confidence: 99%

Effects of Diffusion and Advection on Predator-Prey Dynamics in Closed Environments

Nie

Xin

Shu

2023

Preprint

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“…Compared with the competitive system, much less is known about the joint impacts of diffusion and advection on the dynamics of predator-prey systems in advective environments. Recently, Wang and Nie in [23] studied the dynamics of a general predator-prey model with the effective advection rate of each species proportional to its diffusion rate in closed advective environments. The results indicate that the small diffusion rates of predators are beneficial to the invasion of the predators.…”

Section: Introductionmentioning

confidence: 99%

Joint impact of advection and diffusion on the predator-prey coexistence in an open flow

Xin,

Nie,

Shu

2023

Preprint

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In this paper, we examine a predator-prey model with general reaction functions in open advective environments, where the predator and prey may employ distinct movement strategies. Using the coefficients of diffusion and advection as varying parameters, we conduct a quantitative analysis on the critical advection rates, which distinguish the different dynamics of this predator-prey system, to explore the joint impact of advection and diffusion on the invasion and coexistence of predators and prey in an open flow. It turns out that the dynamics may switch many times between a successful or failed invasion, coexistence or generalist predator take-over as the advection and diffusion rates of predators and prey vary, which suggests that both diffusion and advection play a crucial role in shaping the dynamics of the predator-prey system. Mathematics Subject Classification. 35B35, 35K57, 92D25.

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“…In fact, many researchers have constructed reaction-diffusion-advection systems to study the dynamics of species in advective environments [16,20,24,32,36,37,39,41,44,45,48,54,26]. How individuals prevent flow-induced washout and persist in advective environments has puzzled ecologists for decades.…”

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confidence: 99%

Disease transmission dynamics of an epidemiological predator-prey system in open advective environments

Yuan

Wang

2023

DCDS-B

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<p style='text-indent:20px;'>This paper delves into the dynamics of a spatial eco-epidemiological system with disease spread within the predator population in open advective environments. The disease-free subsystem is first discussed, and the net reproductive rate <inline-formula><tex-math id="M1">\begin{document}$ R_P $\end{document}</tex-math></inline-formula> is established to determine whether the predator can invade successfully. The impacts of advection rate on <inline-formula><tex-math id="M2">\begin{document}$ R_P $\end{document}</tex-math></inline-formula> are also discussed. Then for the scenario of successful invasion of the predator, sufficient conditions for the prevalence of disease and the local stability of disease-free attractor are obtained by dint of persistence theory and comparison theorem. Finally, we present a special numerical example, in which the basic reproduction ratio <inline-formula><tex-math id="M3">\begin{document}$ R_0 $\end{document}</tex-math></inline-formula> of the disease is established in the absence or presence of periodic perturbation. Our theoretical and numerical results both indicate that the advection rate in an intermediate interval can favor the coexistence of prey and healthy predator as well as the eradication of disease.</p>

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Invasion dynamics of a predator-prey system in closed advective environments

Cited by 19 publications

References 56 publications

Effects of Diffusion and Advection on Predator-Prey Dynamics in Closed Environments

Effects of Diffusion and Advection on Predator-Prey Dynamics in Closed Environments

Joint impact of advection and diffusion on the predator-prey coexistence in an open flow

Disease transmission dynamics of an epidemiological predator-prey system in open advective environments

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