Analysis of periodic solutions in an eco-epidemiological model with saturation incidence and latency delay

DOI10.1016/j.nahs.2009.09.007zbMath1179.49043OpenAlexW2038909407MaRDI QIDQ1049218

Rakhi Bhattacharyya, Banibrata Mukhopadhyay

Publication date: 8 January 2010

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2009.09.007

zbMATH Keywords

periodic solutionsubcritical Hopf bifurcationsupercritical Hopf bifurcationsaturation incidencelatency delay

Mathematics Subject Classification ID

Epidemiology (92D30) Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Pursuit and evasion games (49N75)

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Cites Work

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• Delay differential equations: with applications in population dynamics
• Predator-prey populations with parasitic infection
• The trade-off between mutual interference and time lags in predator-prey systems
• Multiple stable recurrent outbreaks and predictability in seasonally forced nonlinear epidemic models
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• Dynamical behavior of epidemiological models with nonlinear incidence rates
• Dynamic models of infectious diseases as regulators of population sizes
• Disease transmission models with density-dependent demographics
• A generalization of the Kermack-McKendrick deterministic epidemic model
• The influence of diseases on Lotka-Volterra systems
• Four predator prey models with infectious diseases
• Nonlinear Oscillations in Epidemic Models
• A predator-prey model with disease in the prey
• DYNAMICS OF A DELAYED EPIDEMIOLOGICAL MODEL WITH NONLINEAR INCIDENCE: THE ROLE OF INFECTED INCIDENCE FRACTION
• Modeling and analysis of a predator-prey model with disease in the prey