Bifurcation and chaos in S-I-S epidemic model

DOI10.1007/s12591-009-0028-4zbMath1213.34094OpenAlexW2076064371WikidataQ59326083 ScholiaQ59326083MaRDI QIDQ609423

Christinah Chiyaka, Prasenjit Das, Zindoga Mukandavire, Ayan Sen, Debasis Mukherjee

Publication date: 30 November 2010

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-009-0028-4

zbMATH Keywords

stabilityHopf bifurcationdelay differential equationwhite noiseSIS model

Mathematics Subject Classification ID

Epidemiology (92D30) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Stationary solutions of functional-differential equations (34K21)

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Cannibalistic Predator–Prey Model with Disease in Predator — A Delay Model ⋮ A delayed prey-predator system with prey subject to the strong Allee effect and disease ⋮ Chaos to order — Effect of random predation in a Holling type IV tri-trophic food chain system with closure terms ⋮ Chaos in collective health: fractal dynamics of social learning ⋮ Dynamical behaviors for a competition and cooperation model of enterprises with two delays ⋮ Bifurcation analysis and chaos control in a discrete epidemic system ⋮ A delayed eco-epidemiological system with infected prey and predator subject to the weak Allee effect ⋮ Persistence and stability of a seasonally perturbed three species stochastic model of salmonoid aquaculture ⋮ Chaos to order: role of additional food to predator in a food chain model

Cites Work

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• Discrete-Time SIS EpidemicModel in a Seasonal Environment
• Predator-prey model with disease infection in both populations
• Evolutionary Games and Population Dynamics

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