Bibliographic Details
| Title: |
Global bifurcation of coexistence states for a prey-taxis system with homogeneous Dirichlet boundary conditions. |
| Authors: |
Li, Shanbing, Wang, Mingxin |
| Superior Title: |
Zeitschrift für Angewandte Mathematik und Physik (ZAMP); Oct2023, Vol. 74 Issue 5, p1-19, 19p |
| Abstract: |
This paper is concerned with coexistence states of boundary value problems div d (v) ∇ u - u χ (v) ∇ v + λ u - u 2 + γ u F (v) = 0 , x ∈ Ω , D Δ v + μ v - v 2 - u F (v) = 0 , x ∈ Ω , u = v = 0 , x ∈ ∂ Ω. ![]() This is the stationary problem associated with the predator–prey system with prey-taxis, and u (resp. v) denotes the population density of predator (resp. prey). In particular, the presence of χ (v) represents the tendency of predators to move toward the increasing preys gradient direction. Regarding λ as a bifurcation parameter, we make a detailed description for the global bifurcation structure of the set of coexistence states. So that ranges of parameters are found for which the system admits coexistence states. [ABSTRACT FROM AUTHOR] |
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| Database: |
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