Since the Covid-19 pandemic, various mathematical models have been developed to describe its spread using compartment model. The purpose of this research was construct a new model Covid-19. This formulated is an application SEIRS epidemic by Zhang & Teng (2007) and modification Chatterjee et al. (2020) adding variations quarantine. analyzed determining disease-free fixed point basic reprodu...

Tuberculosis is a global threat to human existence. A model investigate the transmission of tuberculosis was constructed and analysed. The threshold quantity ( R_0) that predicts existence or extinction disease in population computed. It found local stability asymptotically stable when basic reproduction number less than unity at disease-free – equilibrium point. Lyapunov function order analyse...

This research was done during the DOMath program at Duke University from May 18 to July 10, 2020. At time, and other universities across country were wrestling with question of how safely welcome students back campus in Fall. Because this, our project focused on using mathematical models evaluate strategies suppress spread virus campus, specifically dorms classrooms. For dorms, we show that giv...

Despite availability of strategies against viral hepatitis, it is still a serious disease, which millions people are already infected with, hence yet needs to be focused on. As an attempt, we formulated single mathematical model describing behaviour all strains presented in the literature. The basic reproduction number(R_0) at disease free equilibrium point computed, feasible region has been de...

In this paper, we consider the model of tumor and immune system, proposed by Han, He Kuang (Discrete Contin. Dyn. Syst. Ser. S 13:2347–2363, 2020). We give necessary sufficient conditions for to have no equilibrium, one, two or three equilibria respectively. Moreover, prove that has periodic solution, its global dynamics in first quadrant. find magnitude reproduction number $ R_0 relative 1 can...

Malaria is an infectious disease caused by Plasmodium parasites and is transmitted among humans by female Anopheles mosquitoes. Climate factors have significant impact on both mosquito life cycle and parasite development. To consider the temperature sensitivity of the extrinsic incubation period (EIP) of malaria parasites, we formulate a delay differential equations model with a periodic time d...

The basic reproduction number $R_{0}$ is a fundamental quantity in epidemiological modeling, reflecting the typical of secondary infections that arise from single infected individual. While widely known to scientists, policymakers, and ...

The basic reproduction number, R(0), a summary measure of the transmission potential of an infectious disease, is estimated from early epidemic growth rate, but a likelihood-based method for the estimation has yet to be developed. The present study corrects the concept of the actual reproduction number, offering a simple framework for estimating R(0) without assuming exponential growth of cases...

Knowledge of mechanisms of infection in vulnerable populations is needed in order to prepare for future outbreaks. Here, using a unique dataset collected during a 2009 outbreak of influenza A(H1N1)pdm09 in a university town, we evaluated mechanisms of infection and identified that an epidemiological model containing partial protection of susceptibles best describes H1N1 dynamics in a rural univ...