Spectral bounds of quasi-positive matrices are crucial mathematical threshold parameters in
population models that are formulated as systems of ordinary differential equations: the sign …

This timely book covers the basic concepts of the dynamics of epidemic disease, presenting
various kinds of models as well as typical research methods and results. It introduces the …

We give a survey of results on global stability for deterministic compartmental
epidemiological models. Using Lyapunov techniques we revisit a classical result, and give a …

Recently, vast investments have been made worldwide in developing Cyber-Physical
Systems (CPS) as solutions to key socio-economic challenges. The Internet-of-Things (IoT) …

Host heterogeneity can be modeled by using multi-group structures in the population. In this
paper we investigate the existence and nonexistence of traveling waves of a two-group SIR …

The long and binding treatment of tuberculosis (TB) at least 6–8 months for the new cases,
the partial immunity given by BCG vaccine, the loss of immunity after a few years doing that …

In this paper we propose a malaria within-host model with k classes of age for the
parasitized red blood cells and n strains for the parasite. We provide a global analysis for …

Taking two susceptible groups into account, we formulate a modified subhealthy-healthy-
infected-recovered (SHIR) model with time delay and nonlinear incidence rate in networks …

Although cholera has existed for ages, it has continued to plague many parts of the world. In
this study, a deterministic model for cholera in a community is presented and rigorously …

Heterogeneity is an important property of any population experiencing a disease. Here we
apply general methods of the theory of heterogeneous populations to the simplest …