This book introduces advanced mathematical methods and techniques for analysis and
simulation of models in mathematical epidemiology. Chronological age and class-age play …

Considering that over exploitation would result in the extinction of the population, we
propose and investigate a Holling II functional response prey-predator model with …

Cholera is an infectious disease caused by the bacterium vibrio cholerae, which can lead to
widespread epidemics in the deterioration of public health systems or the associated …

To study the impact of HIV infection at the individual level on the transmission of HIV/AIDS at
the population level, in this paper, we formulate a multi-scale HIV model coupled with a two …

This paper deals with a delayed reaction–diffusion three-species Lotka–Volterra model with
interval biological parameters and harvesting. Sufficient conditions for the local stability of …

In this study, a novel mathematical model is developed to investigate the effectiveness of
imperfect human vaccination against malaria. The model is a system of ordinary differential …

Abstract The World Health Organization's 2021 global tuberculosis report points out that
people living with human immunodeficiency virus are more likely than others to become sick …

A general model of a heterogeneous control system is introduced in the form of a first order
distributed system with nonlocal dynamics and exogenous side-conditions. The …

Mathematical models and concepts have been important in ecology since its inception as a
discipline. However, symbiosis between the disciplines of mathematics and ecology on any …

We formulate an immuno-epidemiological model of coupled “within-host” model of ODEs
and “between-host” model of ODE and PDE, using the Human Immunodeficiency Virus (HIV) …