Stability and traveling waves of a stage-structured predator-prey model with Holling type-II functional response and harvesting

DOI10.1016/J.NONRWA.2012.05.004zbMath1257.35186OpenAlexW2067076875MaRDI QIDQ1926409

Pei-xuan Weng, Kai Hong

Publication date: 28 December 2012

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2012.05.004

zbMATH Keywords

stabilitytraveling waveSchauder fixed point theoremstage-structurepredator-prey systemHolling type-II functional responseupper-lower solutions

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Traveling wave solutions (35C07)

Related Items (16)

Stability and traveling waves in a Beddington-DeAngelis type stage-structured predator-prey reaction-diffusion systems with nonlocal delays and harvesting ⋮ Harvest control for a delayed stage-structured diffusive predator–prey model ⋮ Dynamic Analysis of a Reaction–Diffusion Rumor Propagation Model ⋮ Hopf bifurcation analysis in a turbidostat model with Beddington–DeAngelis functional response and discrete delay ⋮ Stability and Bifurcation of a Fishery Model with Crowley–Martin Functional Response ⋮ Modeling and analysis of a predator–prey model with state-dependent delay ⋮ Dynamics of delayed stochastic predator–prey models with feedback controls based on discrete observations ⋮ Traveling waves in a stage-structured predator-prey model with Holling type functional response ⋮ Effect of harvesting, delay and diffusion in a generalist predator-prey model ⋮ Stability of a three-dimensional diffusive Lotka–Volterra system of type-K with delays ⋮ Traveling wave solutions in a diffusive producer-scrounger model ⋮ Dynamic analysis on an almost periodic predator-prey system with impulsive effects and time delays ⋮ Traveling waves in a nonlocal dispersal predator-prey model ⋮ Global stability and wavefronts in a cooperation model with state-dependent time delay ⋮ Wavefronts of a stage structured model with state-dependent delay ⋮ Spatial dynamics of a diffusive predator-prey model with stage structure

This page was built for publication: Stability and traveling waves of a stage-structured predator-prey model with Holling type-II functional response and harvesting