The Democratic Republic of Congo (DRC) experienced a confined rural outbreak of Ebola virus disease (EVD) with 69 reported cases from July to October 2014. Understanding the transmission dynamics during the outbreak can provide important information for anticipating and controlling future EVD epidemics. I fitted an EVD transmission model to previously published data of this outbreak and estimat...

We develop a multi-patch and multi-group model that captures the dynamics of an infectious disease when the host is structured into an arbitrary number of groups and interacts into an arbitrary number of patches where the infection takes place. In this framework, we model host mobility that depends on its epidemiological status, by a Lagrangian approach. This framework is applied to a general S...

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, a model for the use of heroin with treat-age is formulated based on the principles of mathematical epidemiology. The model accounts for relapse rate that depends on how long the host has been in treatment for heroin addiction. An explicit formula for the reproductive number of the heroin spread is obtained. By using the method of Lyapunov functional, we established the dynamical ...

We obtain threshold conditions for eradication and permanence of the disease for a nonautonomous SIRQ model with time-dependent incidence rates, given by functions of all compartments in some general family. The threshold conditions are given by some numbers that play the role of the basic reproduction number. Additionally, we obtain simple threshold conditions in the asymptotically autonomous ...

SARS-CoV-2 or COVID-19 was introduced into India by multiple sources generating local clusters and leading to the nationwide spread. A retrospective study has been conducted on epidemiological features spatial spread of in during February 2020–March 2021. For each district, cumulative number confirmed cases were fitted exponential growth model for initial phase outbreak (the first 7–15 days). F...

Since the start of COVID-19 pandemic, definition normal life has changed drastically. The number cases this pandemic is rising everyday across globe. In study, we propose a compartmental model, which considers isolation factor Coronavirus infected individuals. model consists five compartments: susceptible (S), exposed (E), Infected (I), Isolated (L) and recovered (R). We have estimated paramete...

A strongly coupled cooperative parabolic system, which describes fecally-orally epidemic model with cross-diffusion in a heterogeneous environment, was formulated and analyzed. The basic reproduction number R0 , which serves as a threshold parameter that predicts whether the coexistence will exist or not, is introduced by the next infection operator and the related eigenvalue problems. By apply...