Mathematical Model for Malaria Transmission and Biological Control

Ritesh Pandey; R N Singh; P N Pandey

doi:10.56424/jts.v8i01.10549

Ritesh Pandey Department of Mathematical Sciences, A. P. S. University, Rewa, India
R N Singh Department of Mathematical Sciences, A. P. S. University, Rewa, India
P N Pandey Department of Mathematics, University of Allahabad, India

DOI: https://doi.org/10.56424/jts.v8i01.10549

Keywords: Mathematical model, human population, mosquito population,Larvivorous fish population.

Abstract

In this paper, a nonlinear mathematical model for the control of vector borne diseases, like malaria is proposed and analyzed. In the modeling process it is assumed that the mosquito population is controlled by using larvivorous fish, which partially depends on the larva of mosquito population. It is further assumed that the mosquito population grows logistically. The equilibria of the model are obtained and their stability is discussed by using stability theory of differential equations. Further numerical simulation is performed to verify the analytically obtained results.