Mathematical Modeling of Japanese Encephalitis Under Aquatic Environmental Effects

TL;DR

This paper develops a mathematical model to understand how aquatic environmental factors influence the spread of Japanese encephalitis, analyzing stability and providing numerical simulations.

Contribution

It introduces a biologically meaningful model focusing on environmental impacts on mosquito populations and disease transmission dynamics.

Findings

Model is biologically well-posed

Disease-free equilibrium is stable under certain conditions

Numerical simulations illustrate environmental effects on disease spread

Abstract

We propose a mathematical model for the spread of Japanese encephalitis, with emphasis on environmental effects on the aquatic phase of mosquitoes. The model is shown to be biologically well-posed and to have a biologically and ecologically meaningful disease free equilibrium point. Local stability is analyzed in terms of the basic reproduction number and numerical simulations presented and discussed.