Periodic solutions of an SIS epidemic model with fixed-time birth pulses and state feedback pulse treatments

DOI10.1080/00207160.2013.818667zbMath1304.34091OpenAlexW2062926861MaRDI QIDQ2921893

Lin Ling, Guirong Jiang, Suyu Liu

Publication date: 14 October 2014

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2013.818667

zbMATH Keywords

periodic solutionepidemic modelbirth pulsepulse treatment

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items

Dynamics of virus-patch model with latent effect ⋮ On the network suppression of the pathogen spread within the healthcare system ⋮ The dynamics of a stage structure population model with fixed-time birth pulse and state feedback control strategy ⋮ The dynamics of an SIS epidemic model with fixed-time birth pulses and state feedback pulse treatments

Cites Work

• Unnamed Item
• Multiple attractors in stage-structured population models with birth pulses
• The SIS epidemic model with Markovian switching
• Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments
• Pulse and constant control schemes for epidemic models with seasonality
• The effect of constant and pulse vaccination on SIS epidemic models incorporating media coverage
• Dynamics of infectious diseases and pulse vaccination: Teasing apart the embedded resonance effects
• Impulsive state feedback control of a predator-prey model
• Bifurcation of nontrivial periodic solutions for an impulsively controlled pest management model
• Periodic solutions and bifurcation in an SIS epidemic model with birth pulses
• Control of an epidemic spreading in a heterogeneously mixing population
• The dynamics of an infectious disease in a population with birth pulses
• Extinction and permanence of the numerical solution of a two-prey one-predator system with impulsive effect
• Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
• Containment strategies of epidemic invasions