Modeling the dynamics of an epidemic under vaccination in two interacting populations

DOI10.1155/2012/275902zbMath1251.93088OpenAlexW1980755026WikidataQ58906533 ScholiaQ58906533MaRDI QIDQ1760625

Kailash C. Patidar, Peter J. Witbooi, Ibrahim H. I. Ahmed

Publication date: 15 November 2012

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

Full work available at URL: https://doi.org/10.1155/2012/275902

zbMATH Keywords

stabilityequilibrium pointsSIR epidemicfourth order Runge-Kutta method

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Application models in control theory (93C95) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Population dynamics (general) (92D25) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

About partial reachability issues in an SEIR epidemic model and related infectious disease tracking in finite time under vaccination and treatment controls ⋮ Effect of population migration and punctuated lockdown on the spread of infectious diseases ⋮ Application of optimal control theory to Newcastle disease dynamics in village chicken by considering wild birds as reservoir of disease virus

Cites Work

• Modeling the impact of immigration on the epidemiology of tuberculosis
• Cost analysis of a vaccination strategy for respiratory syncytial virus (RSV) in a network model
• Permanence for a delayed nonautonomous SIR epidemic model with density-dependent birth rate
• The effect of vaccinations in an immigrant model
• Global stability of two-group SIR model with random perturbation
• A host-vector model for malaria with infective immigrants
• Projection of tuberculosis incidence with increasing immigration trends
• Modelling and analysis of the spread of AIDS epidemic with immigration of HIV infectives
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