Two systematic methods are presented to guide the construction of Lyapunov functions for
general infectious disease models and are thus applicable to establish their global …

In this work, a new fractional order epidemic model for the tuberculosis (TB) disease with
relapse using Atangana–Baleanu derivative is formulated. The basic reproduction number …

The prediction and control of COVID-19 is critical for ending this pandemic. In this paper, a
nonlocal SIHRDP (S-susceptible class, I-infective class (infected but not hospitalized), H …

Established foci of Mycobacterium bovis (the causative agent of bovine tuberculosis [bTB]) in
free-ranging wildlife are currently under various stages of management on three continents …

This work is designed to formulate and analyse a mathematical model for population
dynamics of financial crime with optimal control measures. Necessary conditions for the …

Tuberculosis is a chronic infectious disease with a high death rate, which has attracted
worldwide attention. In this paper, we focus on the annual data of tuberculosis in the United …

In this paper, an SEIR epidemic model for a disease with age-dependent latency and
relapse is proposed. Such a model is very appropriate for tuberculosis and herpes. The …

We propose a general class of multistage epidemiological models that allow possible
deterioration and amelioration between any two infected stages. The models can describe …

This paper presents a novel algebraic method for the construction of Lyapunov functions to
study global stability of the disease-free equilibrium points of deterministic epidemic ordinary …

A mathematical model for cholera is formulated that incorporates hyperinfectivity and
temporary immunity using distributed delays. The basic reproduction number R_0 is defined …