‎hepatitis b virus (hbv) infection is a major public health problem in the world today‎. ‎a mathematical model is formulated to describe the spread of hepatitis b‎, ‎which can be controlled by vaccination as well as treatment‎. ‎we study the dynamical behavior of the system with fixed control for both vaccination and treatment‎. ‎the results shows that the dynamics of the model is completely de...

in this paper we study the dynamics of hepatitis b virus (hbv) infection under administration of a vaccine and treatment, where the disease is transmitted directly from the parents to the offspring  and also through contact with infective individuals. stability of the disease-free steady state is investigated. the basic reproductive rate, $r_0$, is derived. the results show that the dynamics of...

Terrorism is generally understood to be the use of threat or extra normal violence to gain ideological reasons and personal benefit. In this paper, a mathematical modelling of terrorism with military strategies and rehabilitation of terrorists was constructed. The model is developed to control the spread of terrorist ideologies in the society and suitable to describe terrorist group. The popula...

In this paper we study the dynamics of Hepatitis B virus (HBV) infection under administration of a vaccine and treatment, where the disease is transmitted directly from the parents to the offspring  and also through contact with infective individuals. Stability of the disease-free steady state is investigated. The basic reproductive rate, $R_0$, is derived. The results show that the dynamics of...

A  tuberculosis (TB) model with  lost sight  and multiple latent classes  is considered and studied. We derive the basic reproduction ratio $mathcal R_0$. There is always a globally asymptotically stable equilibrium state. Depending on the value of   $mathcal{R}_0$, this state can be either endemic ($mathcal{R}_0> 1$), or infection-free ($mathcal{R}_0leq 1$). The global asymptotic stability of ...

This paper focuses on the dynamical behavior of an age-structured epidemic model including a nonlinear incidence and immune loss. For this well-posedness considered is obtained existence equilibria obtained. Then stability persistence problems are investigated for system. More precisely, disease-free equilibrium globally asymptotically stable when basic reproduction number $ R_0<1 $, while i...

Abstract In this paper we present a more realistic mathematical model for the transmission dynamics of malaria by extending classical SEIRS scheme and Hai-Feng Huo Guang-Ming Qiu [21] adding ignorant infected humans compartment. We analyze global asymptotically stabilities use basic reproduction number R_0 prove that when R_0≦1, disease-free equilibrium is globally stable. That dies out in popu...

COVID-19 is a viral disease that caused by Severe Acute Respiratory Syndrome coronavirus 2 (SARSCoV-2) which has no approved vaccine. Based on the available non-pharmacological interventions like wearing of face masks, observing social distancing, and lockdown, this work assesses impact non-pharmaceutical control measures (social distancing use face-masks) mass testing transmission in Nigeria. ...