Local stability analysis of ratio-dependent predator-prey models with predator harvesting rates

DOI10.1016/J.AMC.2015.08.062zbMath1410.37073OpenAlexW1746086313WikidataQ115598276 ScholiaQ115598276MaRDI QIDQ670793

Christopher M. Heggerud, Kunquan Lan

Publication date: 20 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.062

zbMATH Keywords

stabilitypredator-prey systempredator harvesting rates

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Normal forms for dynamical systems (37G05) Ecology (92D40) General biology and biomathematics (92B05)

Related Items (8)

Analysis of fractional fishery model with reserve area in the context of time-fractional order derivative ⋮ Stochastic periodic solution for a perturbed non-autonomous predator-prey model with generalized nonlinear harvesting and impulses ⋮ Qualitative analysis of a Leslie-Gower predator-prey system with nonlinear harvesting in predator ⋮ Stability and Bifurcation of a Fishery Model with Crowley–Martin Functional Response ⋮ Modeling and dynamics of an ecological-economic model ⋮ Bifurcation of a delayed gause predator-prey model with Michaelis-Menten type harvesting ⋮ Dynamics of predator-prey system with fading memory ⋮ Bifurcation and Turing pattern formation in a diffusive ratio-dependent predator-prey model with predator harvesting

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Phase portraits, Hopf bifurcations and limit cycles of the Holling-Tanner models for predator-prey interactions
• Predator-prey interaction with harvesting: mathematical study with biological ramifications
• Phase portraits of predator--prey systems with harvesting rates
• Dynamics in a ratio-dependent predator--prey model with predator harvesting
• Phase portraits, Hopf bifurcations and limit cycles of Leslie-Gower predator-prey systems with harvesting rates
• Global qualitative analysis of a ratio-dependent predator-prey system
• Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting
• Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system

This page was built for publication: Local stability analysis of ratio-dependent predator-prey models with predator harvesting rates