Pattern transitions in spatial epidemics: Mechanisms and emergent properties
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 …
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 …
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 …
systems, which can characterize the relationship between populations, space–time structure …
Phase separation driven by density-dependent movement: a novel mechanism for ecological patterns
Many ecosystems develop strikingly regular spatial patterns because of small-scale
interactions between organisms, a process generally referred to as spatial self-organization …
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 …
movement in ecology, with a focus on epidemic spread. Pulmonary syndrome is not only …
Patterns and localized structures in population dynamics
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 …
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 …
techniques in condensed matter physics: memory functions, projection operators, and the …
Pattern formation in a model of competing populations with nonlocal interactions
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 …
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
We present an analytic study of traveling fronts, localized colonies, and extended patterns
arising from a reaction-diffusion equation which incorporates simultaneously two features …
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 …
introduced in a small region adjacent to an extensive predator-free region. In its simplest …