Mathematical Assessments of the Impact of Invasive Plants

This book aimed to analyze the spread of spatial dispersal dynamics of malaria disease by mathematical modelling. We propose a spatial nonlinear mathematical model that describes the impact of invasive plants and dispersion of vectors on the dynamics of malaria disease.We analyzed the homogeneous part of the spatial model for the spread of the disease, and we found out that the model has three disease equilibria which include two Disease Free Equilibrium and one Disease Endemic Equilibrium. The two Disease Free Equilibrium occurred due to the impact of invasive plants on malaria dynamics, and this result is an important contribution to knowledges. Malaria model has this report.The stability of the equilibria were also investigated.The analysis of the possibility of the disease existence of backward bifurcation and global stability were carefully investigated.We have also formulated the traveling wave equations that enable us to determine the propagation speed of the disease transmission.