Modern infectious disease epidemiology has a strong history of using mathematics both for
prediction and to gain a deeper understanding. However the study of infectious diseases is …

Throughout the life sciences, we routinely seek to interpret measurements and observations
using parametrized mechanistic mathematical models. A fundamental and often overlooked …

In this paper, we investigate the influence of anti-predator behaviour due to the fear of
predators with a Holling-type-II prey-predator model incorporating a prey refuge. We first …

Fish travel in schools, birds migrate in flocks, honeybees swarm, and ants build trails. How
and why do these collective behaviors occur? Exploring how coordinated group patterns …

In Chapter 1, we have seen how the algebra of the polynomial rings k [x1,..., xn] and the
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …

Synchronization: From Simple to Complex is devoted to the fundamental phenomenon in
physics–synchronization that occurs in coupled non-linear dissipative oscillators. Examples …

In this paper, we investigate the dynamics of an improved Leslie-Gower predator–prey
model which is characterized by the reduction of the prey growth rate due to fear of the …

Mathematical models of tumor-immune interactions provide an analytic framework in which
to address specific questions about tumor-immune dynamics. We present a new …

We develop and analyze a mathematical model, in the form of a system of ordinary
differential equations (ODEs), governing cancer growth on a cell population level with …

In this chapter we have presented mathematical modeling approaches to biological pattern
formation. While reaction-diffusion models are appropriate to describe the spatio-temporal …