Modeling pulse infectious events irrupting into a controlled context: a SIS disease with almost periodic parameters

DOI10.1016/j.apm.2011.07.085zbMath1243.34016OpenAlexW2095423914MaRDI QIDQ437899

Gonzalo Robledo, Eduardo González-Olivares, Manuel Pinto, Fernando Córdova-Lepe

Publication date: 20 July 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.07.085

zbMATH Keywords

stabilityalmost periodic functionsimpulsive differential equationsepidemic modelspulse infectious events

Mathematics Subject Classification ID

Epidemiology (92D30) Ordinary differential equations with impulses (34A37) Qualitative investigation and simulation of ordinary differential equation models (34C60) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (8)

Basic reproduction ratios for almost periodic compartmental epidemic models ⋮ Almost periodic evolution systems with impulse action at state-dependent moments ⋮ Periodic and almost periodic oscillations in a delay differential equation system with time-varying coefficients ⋮ An almost periodic epidemic model in a patchy environment ⋮ On the basic reproduction number in a random environment ⋮ The dynamics of an SIS epidemic model with fixed-time birth pulses and state feedback pulse treatments ⋮ Analysis of two discrete forms of the classic continuous SIR epidemiological model ⋮ A reaction–diffusion epidemic model with incubation period in almost periodic environments

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