In this paper, we analyzed dynamics of malaria disease by a compartment model involving ordinary differential equations for the human and mosquito populations. An equivalent system is obtained, which has two equilibriums: a disease-free equilibrium and an endemic equilibrium. The stability of these two equilibriums is controlled by the basic reproduction number . In this model the disease-free equilibrium state is stable if and if , the endemic equilibrium stable. The analytical predictions are conformed by numerical simulation and graphical results.
In this paper we are solving coupled system of non linear partial differential equations by a new method called Kamal decomposition method (KDM). The new method is coupling of the Kamal transform and the Adomain decomposition method. The generalized solution has been proved .Kamal decomposition method (KDM) is very successful tool for finding the exact solution of linear and non linear partial differential equations. The existence and uniqueness of solution is based on KDM.
In the present paper, we proposed and analyzed an SIQR compartment model. Determine the steady state of the model and Stability analysis is carried out. Equilibrium analysis is presented and it is found that in each case the equilibrium Points are locally asymptotically stable under certain conditions The stability of the equilibriums are studied by using the Routh-Hurwitz criteria.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.