If we had to formulate in one sentence what this book is about, it might be “How partial
differential equations can help to understand heat explosion, tumor growth or evolution of …

Nonlocal reaction–diffusion equations describe various biological and biomedical
applications. Their mathematical properties are essentially different in comparison with the …

We prove the existence in the sense of sequences of solutions for some integro-differential
type equations involving the drift term in the appropriate H^2 spaces using the fixed point …

There is growing evidence that ecological interactions are often nonlocal. Correspondingly,
increasing attention is paid to mathematical models with nonlocal terms as such models may …

Here, we explore the phase transitions triggered by the implementation of social distancing
in a basic spatiotemporal model of a qualitative SIS-type infectious disease. We consider …

The article deals with the existence of solutions of an integro-differential equation in the case
of anomalous diffusion with the negative Laplace operator in a fractional power in the …

We establish the existence in the sense of sequences of solutions for certain systems of
integro-differential equations which involve the drift terms and the square root of the one …

Solvability of some integro-differential equations with drift and superdiffusion Page 1 Chapter
3 Solvability of some integro-differential equations with drift and superdiffusion In this chapter …

Darwin illustrated his theory about emergence and evolution of biological species with a
diagram. It shows how species exist, evolve, appear and disappear. The goal of this work is …

A bistable nonlocal reaction–diffusion equation is studied. Solutions in the form of simple
and periodic travelling waves, single and multiple pulses are observed in numerical …