Background: Mathematical modeling of vector-borne diseases and forecasting of epidemics
outbreak are global challenges and big point of concern worldwide. The outbreaks depend …

The objective of this paper is to study the optimal control problem for the fractional
tuberculosis (TB) infection model including the impact of diabetes and resistant strains. The …

A dynamical model of asymptomatic carrier zika virus model with optimal control strategies is
presented. The basic model zika without control and basic mathematical results are …

We formulate a new mathematical model for the Zika infection with mutations and optimal
controls. The Zika virus with mutations that cause defects in the newly birth for infected …

Hepatitis B infection is a serious health issue and causes many deaths around the world.
The aim of this paper is to develop a mathematical model with hospitalized population to …

In this paper, we have developed and analyzed a deterministic Zika model considering both
vector and sexual transmission route with the effect of human awareness and vector control …

Fractional order and fractal order are mathematical tools that can be used to model real-
world problems. In order to demonstrate the usefulness of these operators, we develop a …

Recurrent malaria constitutes one of the greatest setbacks to the realization of malaria
disease elimination from the population. In this paper, a deterministic model governed by a …

In the present paper, we investigate a fractional model in Caputo sense to explore the
dynamics of the Zika virus. The basic results of the fractional Zika model are presented. The …

In this paper, we study an epidemic model describing two strains with non-monotone
incidence rates. The model consists of six ordinary differential equations illustrating the …