Qualitative analysis for a ratio-dependent predator-prey model with stage structure and diffusion

DOI10.1016/j.nonrwa.2007.08.004zbMath1156.34332OpenAlexW1999817802MaRDI QIDQ1007755

Zhi Guo Wang, Jian-hua Wu

Publication date: 24 March 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.08.004

zbMATH Keywords

diffusionprey-predator modelstage structureratio dependent

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23)

Related Items (11)

Global behavior for a diffusive predator-prey model with stage structure and nonlinear density restriction. I: The case in \(\mathbb R^n\) ⋮ Asymptotic behavior and multiplicity for a diffusive Leslie-Gower predator-prey system with Crowley-Martin functional response ⋮ Dynamics of a general prey-predator model with prey-stage structure and diffusive effects ⋮ Dynamics of a Stage-Structured-Prey and Predator Model with Linear Harvesting of Mature Prey and Predator ⋮ Existence and asymptotic behavior of positive solutions for a one-prey and two-competing-predators system with diffusion ⋮ Stationary patterns of the stage-structured predator-prey model with diffusion and cross-diffusion ⋮ Uniqueness of periodic solutions of a nonautonomous density-dependent predator-prey system ⋮ Hybrid approach for pest control with impulsive releasing of natural enemies and chemical pesticides: a plant-pest-natural enemy model ⋮ Qualitative analysis for a ratio-dependent predator-prey model with disease and diffusion ⋮ Turing patterns and spatiotemporal patterns in a tritrophic food chain model with diffusion ⋮ Instability and Pattern Formation in Three-Species Food Chain Model via Holling Type II Functional Response on a Circular Domain

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