Bifurcations of a Leslie‐Gower prey‐predator system with ratio‐dependent Holling IV functional response and prey harvesting

DOI10.1002/mma.5944zbMath1452.34058OpenAlexW2995965618MaRDI QIDQ5120752

Yong Yao

Publication date: 16 September 2020

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5944

zbMATH Keywords

bifurcationconstant prey harvestingLeslie-Gower prey-predator systemratio-dependent Holling IV functional response

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ordinary differential equations with impulses (34A37) 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) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

Global analysis in Bazykin's model with Holling II functional response and predator competition ⋮ Modeling Allee Effect in the Leslie-Gower Predator–Prey System Incorporating a Prey Refuge ⋮ Bifurcation Analysis in a Tumor-Immune System Interaction Model with Dendritic Cell Therapy and Immune Response Delay ⋮ Patterns in the predator–prey system with network connection and harvesting policy ⋮ Bifurcation patterns in a discrete predator-prey model incorporating ratio-dependent functional response and prey harvesting ⋮ Bifurcation Analysis of a One-Prey and Two-Predators Model with Additional Food and Harvesting Subject to Toxicity ⋮ Global dynamics and bifurcations in a SIRS epidemic model with a nonmonotone incidence rate and a piecewise-smooth treatment rate

This page was built for publication: Bifurcations of a Leslie‐Gower prey‐predator system with ratio‐dependent Holling IV functional response and prey harvesting