scholarly journals A free boundary problem of some modified Leslie-Gower predator-prey model with nonlocal diffusion term

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Shiwen Niu ◽  
Hongmei Cheng ◽  
Rong Yuan
Keyword(s):  
Free Boundary ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Nonlocal Diffusion ◽  
Diffusion Term ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
A Free Boundary Problem

scholarly journals A free boundary problem for a predator-prey model with nonlinear prey-taxis

2018 ◽  
Vol 63 (2) ◽  
pp. 125-147
Author(s):  
Mohsen Yousefnezhad ◽  
Seyyed Abbas Mohammadi ◽  
Farid Bozorgnia
Keyword(s):  
Free Boundary ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
A Free Boundary Problem

scholarly journals A free boundary problem with a Stefan condition for a ratio-dependent predator-prey model

2021 ◽  
Vol 6 (11) ◽  
pp. 12279-12297
Author(s):  
Lingyu Liu ◽  
◽  
Alexander Wires ◽  
Keyword(s):  
Free Boundary ◽  
Moving Boundary ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Spreading And Vanishing ◽  
Prey Model ◽  
Whole Space ◽  
Ratio Dependent ◽  
Stefan Condition ◽  
A Free Boundary Problem

<abstract><p>In this paper we study a ratio-dependent predator-prey model with a free boundary caused by predator-prey interaction over a one dimensional habitat. We study the long time behaviors of the two species and prove a spreading-vanishing dichotomy; namely, as $ t $ goes to infinity, both prey and predator successfully spread to the whole space and survive in the new environment, or they spread within a bounded area and eventually die out. The criteria governing spreading and vanishing are obtained. Finally, when spreading occurs we provide some estimates to the asymptotic spreading speed of the moving boundary $ h(t) $.</p></abstract>

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