BIFURCATIONS IN A HOST-PARASITE MODEL WITH NONLINEAR INCIDENCE

DOI10.1142/S0218127406016793zbMath1140.34361OpenAlexW2142529697MaRDI QIDQ5297271

Yi Li, Wendi Wang, Herbert W. Hethcote

Publication date: 18 July 2007

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

Full work available at URL: https://doi.org/10.1142/s0218127406016793

zbMATH Keywords

periodic solutionshomoclinic orbitsnonlinear incidencebistablehost extinction

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)

Related Items (5)

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Cites Work

• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
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• Heterogeneity in disease-transmission modeling
• Global dynamics of a ratio-dependent predator-prey system
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• A disease transmission model in a nonconstant population
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Deterministic extinction effect of parasites on host populations
• Discrete-time S-I-S models with complex dynamics.
• An epidemic model in a patchy environment
• Multiparametric bifurcations for a model in epidemiology
• Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population
• The Mathematics of Infectious Diseases

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