It has been over a decade since the release of the now classic original edition of Murray's
Mathematical Biology. Since then mathematical biology has grown at an astonishing rate …

" An exceptionally complete overview. There are numerous examples and the emphasis is
on applications to almost all areas of science and engineering. There is truly something for …

This book is intended for mathematicians who are interested in the application of their
subject to the biological sciences and for biologsts with some mathematical training. It is also …

Nonlinearity plays a major role in the understanding of most physical, chemical, biological,
and engineering sciences. Nonlinear problems fascinate scientists and engineers, but often …

Following JD Murray, we consider a system of two differential equations that models
traveling fronts in the Noyes-Field theory of the Belousov–Zhabotinsky (BZ) chemical …

The Fisher-KPP equation has a travelling wave solution for all speeds. Initial data that
decrease monotonically from 1 to 0 on, with as, are known to evolve to a travelling wave …

Problems in engineering, computational science, and the physical and biological sciences
are using increasingly sophisticated mathematical techniques. Thus, the bridge between the …

Two numerical methods, which do not bring contrived chaos into the solution, are proposed
for the solution of the Riccati (logistic) equation. Though implicit in nature, with the resulting …

In this paper we consider a diffusion system with the Belousov–Zhabotinskii (BZ for short)
chemical reaction. Following Brazhnik and Tyson [4] and Pérez-Muñuzuri et al.[45], who …

λ–ω systems are a class of simple reaction-diffusion equations with a limit cycle in the
reaction kinetics. The author considers the solution of the system given by λ(r)=λ_0-r^p …