Stability and bifurcation analysis of a ratio-dependent predator-prey model with time delay

From MaRDI portal
Publication:1026444

DOI10.1016/j.cam.2008.11.009zbMath1186.34122OpenAlexW2004450997WikidataQ115581108 ScholiaQ115581108MaRDI QIDQ1026444

Zhien Ma, Qintao Gan, Rui Xu

Publication date: 25 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.11.009




Related Items (40)

Mathematical study of stage-structured pests control through impulsively released natural enemies with discrete and distributed delaysPeriodic dynamics of delayed Lotka-Volterra competition systems with discontinuous harvesting policies via differential inclusionsCannibalistic Predator–Prey Model with Disease in Predator — A Delay ModelExponential synchronization of fractional-order complex chaotic systems and its applicationHarvest control for a delayed stage-structured diffusive predator–prey modelA delayed prey-predator system with prey subject to the strong Allee effect and diseaseBifurcations and Dynamics of a Predator–Prey Model with Double Allee Effects and Time DelaysDynamical behavior of two predators-one prey model with generalized functional response and time-fractional derivativeMathematical analysis of a fractional resource-consumer model with disease developed in consumerOptimal predator control policy and weak allee effect in a delayed prey-predator systemStability and Hopf bifurcation of a delayed ratio-dependent predator-prey systemA delay nonautonomous model for the impacts of fear and refuge in a three species food chain model with hunting cooperationComplex dynamics of sexually reproductive generalist predator and gestation delay in a food chain model: double Hopf-bifurcation to chaosBifurcation analysis and spatiotemporal patterns in delayed Schnakenberg reaction-diffusion modelReduction and normal forms for a delayed reaction-diffusion differential system with B-T singularityChaos and Hopf bifurcation analysis for a two species predator-prey system with prey refuge and diffusionEffect of Multiple Delays in an Eco-Epidemiological Model with Strong Allee EffectBifurcation analysis in a discrete predator-prey model with herd behaviour and group defenseTranscritical bifurcation and Neimark-Sacker bifurcation of a discrete predator-prey model with herd behaviour and square root functional responseSpatio-temporal complexity of a delayed diffusive model for plant invasionA delayed predator-prey model with strong Allee effect in prey population growthTristable Phenomenon in a Predator–Prey System Arising from Multiple Limit Cycles BifurcationStability and Hopf bifurcation for a ratio-dependent predator-prey system with stage structure and time delayStability and Hopf bifurcation in a delayed predator-prey system with herd behaviorBifurcation analysis of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and strong Allee effectDynamics of generalist predator in a stochastic environment: effect of delayed growth and prey refugeModeling and Predicting the Influence of PM2.5 on Children’s Respiratory DiseasesA delayed eco-epidemiological system with infected prey and predator subject to the weak Allee effectOptimal harvesting and complex dynamics in a delayed eco-epidemiological model with weak Allee effectsEffect of toxic substance on delayed competitive allelopathic phytoplankton system with varying parameters through stability and bifurcation analysisStability and global Hopf bifurcation analysis on a ratio-dependent predator-prey model with two time delaysThe Hopf bifurcation for a predator-prey system with \(\theta\)-logistic growth and prey refugeQualitative analysis of a predator-prey system with double Allee effect in preyHopf bifurcation and stability in predator-prey model with a stage-structure for preyGlobal Hopf bifurcation for three-species ratio-dependent predator-prey system with two delaysA delayed ratio-dependent predator-prey model of interacting populations with Holling type III functional responseHopf Bifurcation Analysis and Stability for a Ratio-Dependent Predator–Prey Diffusive System with Time DelayPersistence and extinction for stochastic delay differential model of prey predator system with hunting cooperation in predatorsMathematical analysis of a single-species population model in a polluted environment with discrete time delaysDynamics of a delayed competitive system affected by toxic substances with imprecise biological parameters



Cites Work




This page was built for publication: Stability and bifurcation analysis of a ratio-dependent predator-prey model with time delay