In this paper, the malaria transmission (MT) model under control strategies is considered
using the Liouville–Caputo fractional order (FO) derivatives with exponential decay law and …

Zika virus (ZIKV) mathematical model is formulated. Optimal control strategies are
introduced into the model. The basic properties of the model without control strategies are …

We propose and analyse a nonlinear mathematical model for the transmission dynamics of
pneumonia disease in a population of varying size. The deterministic compartmental model …

This paper presents a seven-dimensional ordinary differential equation modelling the
transmission of Plasmodium falciparum malaria between humans and mosquitoes with non …

The optimal control strategy for time-varying epidemic models remains a wide open
research area. In this paper, the optimal vaccination strategy for a constrained time-varying …

In this work, the concept of the fractional derivative is used to improve a mathematical model
for the transmission dynamics of pneumonia in the Al-Baha region of the Kingdom of Saudi …

A mathematical system of equations using the concept of fractional differentiation with non-
local and non-singular kernel has been analysed in this work. The developed mathematical …

We present the application of optimal control theory to a simple SI malaria model with non-
linear incidence rate. The basic properties of the model, including the epidemic threshold …

Malaria is one of the most severe disease in the world. The projected climate change will
probably alter the region and transmission potential of malaria in Africa. In this study, a …

We have proposed and analyzed a vector-borne disease model with three types of controls
for the eradication of the disease. Four different classes for the human population namely …