We analyze a periodically-forced dynamical system inspired by the SIR model with
impulsive vaccination. We fully characterize its dynamics according to the proportion p of …

There are few adapted SIR models in the literature that combine vaccination and logistic
growth. In this article, we study bifurcations of a SIR model where the class of Susceptible …

Abstract The Middle East respiratory syndrome is a viral respiratory illness. It is caused by a
common type of virus called coronavirus. The main objective of the present work, we …

We study three different strategies of vaccination in an SEIRS (Susceptible–Exposed–
Infected–Recovered–Susceptible) seasonal forced model, which are (⁠ i⁠) continuous …

We analyze a periodically-forced dynamical system inspired by the SIR model with pulse
vaccination. We fully characterize its dynamics according to the proportion p of vaccinated …

The spread of epidemic diseases is often considered to be bound up with human behavior.
Both treatment and awareness-raising are seen as important preventive measures during an …

Chaos and sub-harmonic bifurcations of a simple SIR model with periodically and
parametrically nonlinear incidence rate are investigated analytically with the Melnikov …

In this work, we suggest a system of differential equations that models the formulation and
evolution of a trend cycle through the consideration of underlying dynamics between the …

This article is concerned with the effect of time-periodic forcing on a vector field exhibiting an
attracting heteroclinic network. We show that as the forcing frequency tends to infinity, the …

The goal of this paper is to introduce a non-autonomous environmental transmission model
for most respiratory and enteric infectious diseases to study the impact of periodic …