Mathematical Models of Infectious Diseases and Social Issues by Shah Nita

Author:Shah Nita
Language: eng
Format: epub
Publisher: Medical Information Science Reference

Chapter 7

Stability Analysis of Co-Infection of Malaria-Dengue

Nisha Sheoran

Department of Mathematics, Gujarat University, Ahmedabad, India

Moksha H. Satia

Department of Mathematics, Gujarat University, Ahmedabad, India

ABSTRACT

Dengue and malaria most commonly occur in tropical and sub-tropical areas. Dengue is a viral infection in a human being caused by a bite of a female aedes mosquito whereas malaria is caused by plasmodium parasite transmitted by a bite of infected mosquito. In this chapter, a mathematical model of co-infection of malaria and dengue is described by deterministic system of non-linear ordinary differential equations. This system considers the force of infection which is applied to dengue susceptible individuals. Moreover, two sub-models, namely malaria-only and dengue-only, are also constructed to study the transmission dynamics. Basic reproduction number is calculated for these models to investigate the existence of the models. The system is proved to be locally and globally stable at its equilibrium points. Stability of these models is also shown through numerical simulation.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.