Role of Alternative Food in Controlling Chaotic Dynamics in a Predator–Prey Model with Disease in the Predator

DOI10.1142/S0218127416501479zbMath1347.34074OpenAlexW2517144133WikidataQ115523766 ScholiaQ115523766MaRDI QIDQ2827022

Krishna pada Das, Prabir Sen, Nandadulal Bairagi

Publication date: 12 October 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127416501479

zbMATH Keywords

chaospredator-prey modelreproduction numberdiseaselimit-cyclealternative food

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) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (8)

Impacts of additional food on diffusion induced instabilities in a predator-prey system with mutually interfering predator ⋮ Effect of mobility and predator switching on the dynamical behavior of a predator-prey model ⋮ The Effect of Alternative Resource and Refuge on the Dynamical Behavior of Food Chain Model ⋮ Exploring Complex Dynamics of Spatial Predator–Prey System: Role of Predator Interference and Additional Food ⋮ Chaos in delay-induced Leslie-Gower prey-predator-parasite model and its control through prey harvesting ⋮ Uniform Persistence and Periodic Solutions of Generalized Predator–Prey Type Eco-Epidemiological Systems ⋮ Complex Dynamics of an Eco-Epidemic System with Disease in Prey Species ⋮ Dynamics of an epidemic system with prey herd behavior and alternative resource to predator

Cites Work

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• Switching from simple to complex dynamics in a predator-prey-parasite model: an interplay between infection rate and incubation delay
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Global analysis of an epidemic model with nonmonotone incidence rate
• Dynamics of additional food provided predator-prey system with mutually interfering predators
• Biological control through provision of additional food to predators: A theoretical study
• Chaos in eco-epidemiological problem of the Salton Sea and its possible control
• Evidence of chaos in eco-epidemic models
• OCCURRENCE OF CHAOS AND ITS POSSIBLE CONTROL IN A PREDATOR-PREY MODEL WITH DENSITY DEPENDENT DISEASE-INDUCED MORTALITY ON PREDATOR POPULATION
• Strange Periodic Attractors in a Prey-Predator System with Infected Prey
• Role of horizontal incidence in the occurrence and control of chaos in an eco-epidemiological system
• Modeling and analysis of a predator-prey model with disease in the prey

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