Pattern transitions in spatial epidemics: Mechanisms and emergent properties

GQ Sun, M Jusup, Z Jin, Y Wang, Z Wang - Physics of life reviews, 2016 - Elsevier
Infectious diseases are a threat to human health and a hindrance to societal development.
Consequently, the spread of diseases in both time and space has been widely studied …

Reaction–diffusion waves in biology

V Volpert, S Petrovskii - Physics of life reviews, 2009 - Elsevier
The theory of reaction–diffusion waves begins in the 1930s with the works in population
dynamics, combustion theory and chemical kinetics. At the present time, it is a well …

Mathematical modeling and mechanisms of pattern formation in ecological systems: a review

GQ Sun, HT Zhang, JS Wang, J Li, Y Wang, L Li… - Nonlinear …, 2021 - Springer
How populations distribute in both space and time is one of the key issues in ecological
systems, which can characterize the relationship between populations, space–time structure …

Phase separation driven by density-dependent movement: a novel mechanism for ecological patterns

QX Liu, M Rietkerk, PMJ Herman, T Piersma… - Physics of life …, 2016 - Elsevier
Many ecosystems develop strikingly regular spatial patterns because of small-scale
interactions between organisms, a process generally referred to as spatial self-organization …

[图书][B] Theory of the spread of epidemics and movement ecology of animals: an interdisciplinary approach using methodologies of physics and mathematics

VMN Kenkre, L Giuggioli - 2021 - books.google.com
Exploiting powerful techniques from physics and mathematics, this book studies animal
movement in ecology, with a focus on epidemic spread. Pulmonary syndrome is not only …

Patterns and localized structures in population dynamics

MG Clerc, D Escaff, VM Kenkre - … Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
Patterns, fronts, and localized structures of a prototypical model for population dynamics
interaction are studied. The physical content of the model is the coexistence of a simple …

[图书][B] Memory functions, projection operators, and the defect technique: some tools of the trade for the condensed matter physicist

VMN Kenkre - 2021 - books.google.com
This book provides a graduate-level introduction to three powerful and closely related
techniques in condensed matter physics: memory functions, projection operators, and the …

Pattern formation in a model of competing populations with nonlocal interactions

BL Segal, VA Volpert, A Bayliss - Physica D: Nonlinear Phenomena, 2013 - Elsevier
We analyze and compute an extension of a previously developed population model based
on the well-known diffusive logistic equation with nonlocal interaction, to a system involving …

Analytical studies of fronts, colonies, and patterns: combination of the Allee effect and nonlocal competition interactions

MG Clerc, D Escaff, VM Kenkre - … Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
We present an analytic study of traveling fronts, localized colonies, and extended patterns
arising from a reaction-diffusion equation which incorporates simultaneously two features …

Complex predator invasion waves in a Holling–Tanner model with nonlocal prey interaction

A Bayliss, VA Volpert - Physica D: Nonlinear Phenomena, 2017 - Elsevier
We consider predator invasions for the nonlocal Holling–Tanner model. Predators are
introduced in a small region adjacent to an extensive predator-free region. In its simplest …