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 …
Spatial pattern formation in chemical and biological systems
PK Maini, KJ Painter, HNP Chau - Journal of the Chemical Society …, 1997 - pubs.rsc.org
One of the central issues in developmental biology is the formation of spatial pattern in the
embryo. A number of theories have been proposed to account for this phenomenon. The …
embryo. A number of theories have been proposed to account for this phenomenon. The …
[图书][B] Mathematical biology: I. An introduction
JD Murray - 2007 - books.google.com
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 …
Mathematical Biology. Since then mathematical biology has grown at an astonishing rate …
[图书][B] Nonlinear dynamics of surface-tension-driven instabilities
A century after Henri Bénard discovered cellular convective structures, thermal convection in
fluid layers still remains a central subject in nonlinear physics. Within this framework, surface …
fluid layers still remains a central subject in nonlinear physics. Within this framework, surface …
[图书][B] Interfacial phenomena and convection
AA Nepomnyashchy, MG Velarde, P Colinet - 2001 - taylorfrancis.com
Interfacial Phenomena and Convection is a self-contained monograph that examines a rich
variety of phenomena in which interfaces play a crucial role. From a unified perspective that …
variety of phenomena in which interfaces play a crucial role. From a unified perspective that …
Pattern formation induced by fractional cross-diffusion in a 3-species food chain model with harvesting
N Iqbal, R Wu, WW Mohammed - Mathematics and Computers in Simulation, 2021 - Elsevier
In this article, we explore the pattern formation caused by fractional cross-diffusion in a 3-
species ecological symbiosis model with harvesting. Initially, all possible points of …
species ecological symbiosis model with harvesting. Initially, all possible points of …
Amplitude expansion of the binary phase-field-crystal model
KR Elder, ZF Huang, N Provatas - … Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
Amplitude representations of a binary phase-field-crystal model are developed for a two-
dimensional triangular lattice and three-dimensional bcc and fcc crystal structures. The …
dimensional triangular lattice and three-dimensional bcc and fcc crystal structures. The …
Renormalization group approach to multiscale simulation of polycrystalline materials using the phase field crystal model
N Goldenfeld, BP Athreya, JA Dantzig - Physical Review E—Statistical …, 2005 - APS
We propose a computationally efficient approach to multiscale simulation of polycrystalline
materials, based on the phase field crystal model. The order parameter describing the …
materials, based on the phase field crystal model. The order parameter describing the …
Spatial patterns and spatiotemporal dynamics in chemical systems
A De Wit - Applications of Fractional Calculus in Physics, Adv …, 2007 - books.google.com
Spatial patterns and spatiotemporal dynamics in chemical systems Page 448 SPATIAL
PATTERNS AND SPATIOTEMPORAL DYNAMICS IN CHEMICAL SYSTEMS A. DE WIT Service …
PATTERNS AND SPATIOTEMPORAL DYNAMICS IN CHEMICAL SYSTEMS A. DE WIT Service …
Spatial dynamics in a predator-prey model with Beddington-DeAngelis functional response
In this paper spatial dynamics of the Beddington-DeAngelis predator-prey model is
investigated. We analyze the linear stability and obtain the condition of Turing instability of …
investigated. We analyze the linear stability and obtain the condition of Turing instability of …