In this paper, we propose new mathematical models with nonlinear incidence rate and
double epidemic hypothesis. Then we dedicate to develop a method to obtain the threshold …

At present, the main measures for disease control are vaccination, quarantine and treatment.
Taking the three measures into consideration, time-varying optimal control problems of an …

In this paper, a novel computer virus propagation model with dual delays and multi-state
antivirus measures is considered. Using theories of stability and bifurcation, it is proven that …

COVID-19 has become a deadly pandemic in the recent times claiming millions of lives
worldwide in a grievous manner. Most of the countries in the world have limited number of …

Dengue is one of the most widely spread mosquito-borne viral diseases which is transmitted
by mosquitoes of Aedes species. It is endemic in all states and union territories (UTs) of …

This paper formulates two stochastic nonautonomous SIRI epidemic systems with nonlinear
perturbations. The main aim of this study is to investigate stochastic dynamics of the two SIRI …

This paper introduces a saturated treatment function into an SIS model with saturated
incidence rate. The treatment function is a continuous and differential function which …

Illegal file sharing of copyrighted contents through popular file sharing networks poses an
enormous threat to providers of digital contents, such as, games, softwares, music and …

In this paper, a stochastic Susceptible-Infected-Susceptible (SIS) epidemic model with
double diseases and the Beddington-DeAngelis incidence is proposed and studied …

Malaria is a life-threatening mosquito-borne disease. It is transmitted through the bite of an
infected Anopheles mosquito. Malaria may be fatal if not treated promptly. Malaria is a major …