A patchy predator-prey model with effect of prey refuge and migration

DOI10.1216/rmj.2021.51.951zbMath1477.34072OpenAlexW3195528554WikidataQ113240881 ScholiaQ113240881MaRDI QIDQ1983223

Haopeng Tang, Shu-Fan Wang, Zhi-Hui Ma, Ting-Ting Wang

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj.2021.51.951

zbMATH Keywords

migrationpredator-prey modeldynamical behaviorprey refugestabilizing effectdestabilizing

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Theoretical study and control optimization of an integrated pest management predator-prey model with power growth rate
• Bifurcation analysis of modified Leslie-Gower predator-prey model with Michaelis-Menten type prey harvesting
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
• The effects of refuges on predator-prey interactions: A reconsideration
• Stability analysis of a fractional-order diffused prey-predator model with prey refuges
• Hopf bifurcation of an age-structured prey-predator model with Holling type II functional response incorporating a prey refuge
• Stability and Hopf-bifurcation in a general Gauss type two-prey and one-predator system
• Stability and bifurcation analysis of a stage structured predator prey model with time delay
• The effect of prey refuge in a patchy predator-prey system
• Modelling and analysis of a prey-predator system with stage-structure and harvesting
• Effects of the self- and cross-diffusion on positive steady states for a generalized predator-prey system
• A GENERALIZED PREDATOR–PREY SYSTEM WITH HABITAT COMPLEXITY

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