Dynamics of an SEIR epidemic model with nonlinear incidence and treatment rates

RK Upadhyay, AK Pal, S Kumari, P Roy - Nonlinear Dynamics, 2019 - Springer
The control of highly contagious diseases is very important today. In this paper, we proposed
an SEIR model with Crowley–Martin-type incidence rate and Holling type II and III treatment …

Mathematical analysis of the dynamics of some reaction-diffusion models for infectious diseases

Y Lou, RB Salako - Journal of Differential Equations, 2023 - Elsevier
We study some reaction-diffusion systems for infectious diseases and investigate how the
dynamics is impacted by the movement of populations and spatial heterogeneity of the …

[HTML][HTML] Mathematical investigation of a two-strain disease model with double dose vaccination control policies

SK Tithi, AK Paul, MA Kuddus - Results in Physics, 2023 - Elsevier
Antimicrobial resistance (AMR) is the microorganism's resistance to an antimicrobial drug
developed and designed to handle an infection. A recent study showed that there were 1.27 …

Global analysis of multi-strains SIS, SIR and MSIR epidemic models

D Bichara, A Iggidr, G Sallet - Journal of Applied Mathematics and …, 2014 - Springer
We consider SIS, SIR and MSIR models with standard mass action and varying population,
with n different pathogen strains of an infectious disease. We also consider the same models …

Strain replacement in an epidemic model with super-infection and perfect vaccination

M Iannelli, M Martcheva, XZ Li - Mathematical Biosciences, 2005 - Elsevier
Several articles in the recent literature discuss the complexities of the impact of vaccination
on competing subtypes of one micro-organism. Both with competing virus strains and …

Control strategies for a multi-strain epidemic model

Y Lou, RB Salako - Bulletin of Mathematical Biology, 2022 - Springer
This article studies a multi-strain epidemic model with diffusion and environmental
heterogeneity. We address the question of a control strategy for multiple strains of the …

Dynamics of a stochastic multi-strain SIS epidemic model driven by Lévy noise

C Chen, Y Kang - Communications in Nonlinear Science and Numerical …, 2017 - Elsevier
A stochastic multi-strain SIS epidemic model is formulated by introducing Lévy noise into the
disease transmission rate of each strain. First, we prove that the stochastic model admits a …

[HTML][HTML] A game-theoretic modeling approach to comprehend the advantage of dynamic health interventions in limiting the transmission of multi-strain epidemics

M Alam, J Tanimoto - Journal of Applied Mathematics and Physics, 2022 - scirp.org
In the situation of inadequate vaccines and rapid mutation of virulent strains, alternative
health interventions play a crucial role in the containment of emerging epidemics. This study …

The dynamics of two viral infections in a single host population with applications to hantavirus

LJS Allen, M Langlais, CJ Phillips - Mathematical Biosciences, 2003 - Elsevier
An SI epidemic model for a host with two viral infections circulating within the population is
developed, analyzed, and numerically simulated. The model is a system of four differential …

The dynamics of epidemic model with two types of infectious diseases and vertical transmission

RK Naji, RM Hussien - Journal of applied mathematics, 2016 - Wiley Online Library
An epidemic model that describes the dynamics of the spread of infectious diseases is
proposed. Two different types of infectious diseases that spread through both horizontal and …