In this study, a novel mathematical model is developed to investigate the effectiveness of
imperfect human vaccination against malaria. The model is a system of ordinary differential …

Strategies for controlling the epidemiology of many infectious diseases such as malaria
include a rapid reduction in both the infected and susceptible population via treatment and …

A transmission and control model for measles infection is presented. The model
incorporates vaccinated individuals and the role of treatment for both exposed and infected …

To study the impact of infection delays in human and mosquito populations, vaccination with
waning immunity and reinfection on the malaria transmission process, a malaria …

We derive and analyse a deterministic model for the transmission of malaria disease with
mass action form of infection. Firstly, we calculate the basic reproduction number, R0, and …

The world is aiming to eliminate malaria by 2030. The introduction of the pilot project on
malaria vaccination for children in Kenya, Ghana, and Malawi presents a significant thrust to …

In this paper, we have developed a compartment of epidemic model with vaccination. We
have divided the total population into five classes, namely susceptible, exposed, infective …

We proposed a mathematical model of measles disease dynamics with vaccination by
considering the total number of recovered individuals either from natural recovery or …

In this work, an optimal control problem with vaccination and treatment as control policies is
proposed and analysed for an SVIR model. We choose vaccination and treatment as control …

In this paper, we propose and analyze an epidemic problem which can be controlled by
vaccination as well as treatment. In the first part of our analysis we study the dynamical …