Persistence and the global dynamics of the positive solutions for a ratio dependent predator-prey system with a crowding term in the prey equation

Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Positive solutions to PDEs (35B09) Initial-boundary value problems for second-order parabolic systems (35K51)

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Existence and uniqueness of the positive steady state solution for a Lotka-Volterra predator-prey model with a crowding term ⋮ Asymptotic behavior and stability of positive solutions to a spatially heterogeneous predator-prey system ⋮ Uniqueness and stability of positive steady state solutions for a ratio-dependent predator-prey system with a crowding term in the prey equation ⋮ Existence and the dynamical behaviors of the positive solutions for a ratio-dependent predator-prey system with the crowing term and the weak growth ⋮ Persistence and Turing instability in a cross-diffusive predator-prey system with generalist predator ⋮ Effect of the protection zone on coexistence of the species for a ratio-dependent predator-prey model ⋮ Long-time behavior of a diffusive prey-predator system with Beddington-DeAngelis functional response in heterogeneous environment

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