This book surveys significant modern contributions to the mathematical theories of
generalized heat wave equations. The first three chapters form a comprehensive survey of …

A brief introduction to the formulation of various types of stochastic epidemic models is
presented based on the well-known deterministic SIS and SIR epidemic models. Three …

In the history of the world, contagious diseases have been proved to pose serious threats to
humanity that needs uttermost research in the field and its prompt implementations. With this …

The next generation matrix approach for calculating the basic reproduction number is
summarized for discrete-time epidemic models. This approach is applied to six disease …

Abstract An HIV/AIDS and TB coinfection model which considers antiretroviral therapy for the
AIDS cases and treatment of all forms of TB, ie, latent and active forms of TB, is presented …

COVID-19 is a respiratory illness caused by an ribonucleic acid (RNA) virus prone to
mutations. In December 2020, variants with different characteristics that could affect …

A stochastic multi-strain SIS epidemic model is formulated by introducing Lévy noise into the
disease transmission rate of each strain. First, we prove that the stochastic model admits a …

We investigate an epidemic model of two diseases. The primary disease is assumed to be a
slowly progressing disease, and the density of individuals infected with it is structured by …

A susceptible-infectious-susceptible (SIS) epidemic model that describes the coinfection and
cotransmission of two infectious diseases spreading through a single population is studied …

Abstract A two strain HIV/AIDS model with treatment which allows AIDS patients with
sensitive HIV-strain to undergo amelioration is presented as a system of non-linear ordinary …