Taiwanese Journal of Mathematics

EXISTENCE OF PERIODIC SOLUTIONS OF SEASONALLY FORCED SIR MODELS WITH IMPULSE VACCINATION

Lin Wang

Full-text: Open access

Abstract

In this paper, we study periodic oscillation of seasonally forced epidemiological models with impulse vaccination where periodicity occurs in contact rate. Using the famous Mawhin's coincidence degree method, we get the existence of positive periodic solutions of seasonally forced SIR models with impulse vaccination at fixed time. Some numerical simulations are presented to illustrate the effectiveness of such pulse vaccination strategy.

Article information

Source
Taiwanese J. Math., Volume 19, Number 6 (2015), 1713-1729.

Dates
First available in Project Euclid: 4 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1499133735

Digital Object Identifier
doi:10.11650/tjm.19.2015.5356

Mathematical Reviews number (MathSciNet)
MR3434273

Zentralblatt MATH identifier
1357.92078

Subjects
Primary: 34K13: Periodic solutions 34A37: Differential equations with impulses 37N25: Dynamical systems in biology [See mainly 92-XX, but also 91-XX] 92D30: Epidemiology

Keywords
periodic solution SIR model coincidence degree periodic contact rate pulse vaccination

Citation

Wang, Lin. EXISTENCE OF PERIODIC SOLUTIONS OF SEASONALLY FORCED SIR MODELS WITH IMPULSE VACCINATION. Taiwanese J. Math. 19 (2015), no. 6, 1713--1729. doi:10.11650/tjm.19.2015.5356. https://projecteuclid.org/euclid.twjm/1499133735


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