Despite having a small footprint origin, COVID-19 has expanded its clutches to being a
global pandemic with severe consequences threatening the survival of the human species …

ABSTRACT We constructed a Susceptible-Addicted-Reformed model and explored the
dynamics of nonlinear relapse in the Reformed population. The transition from susceptible …

Relapse, the recurrence of a disorder following a symptomatic remission, is a frequent
outcome in substance abuse disorders. Some of our prior results suggested that relapse, in …

The validation of mathematical models describing contact processes, heightens the
qualitative analysis to a treasured level of understanding. The core of this dissertation …

We develop a stochastic two-patch epidemic model with nonlinear recidivism to investigate
infectious disease dynamics in heterogeneous populations. Extending a deterministic …

The problem of who is mixing with whom is of great theoretical importance in the context of
heterosexual mixing. In this article, we publish for the first time, data from a study carried out …

The primary goal of the Mathematical Theoretical Biology Institute1 and the Institute for
Strengthening Understanding of Mathematics and Science2 (MTBI/SUMS) is to increase the …

The similarities between drinking behavior and contagion are used to explore—under two
types of social structure in the population: homogenous and heterogeneous mixing—the …

This manuscript, highlights some of the challenges in the context of the dynamics of vector-
transmitted diseases, particularly dengue. It is the hope that these contributions will motivate …

The probability, power, and influence of terrorist attacks are increasing with growing access
to information and material resources. This paper investigates the character of this …