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 …
Global convergence of COVID-19 basic reproduction number and estimation from early-time SIR dynamics
The SIR ('susceptible-infectious-recovered') formulation is used to uncover the generic
spread mechanisms observed by COVID-19 dynamics globally, especially in the early …
spread mechanisms observed by COVID-19 dynamics globally, especially in the early …
Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
S Chen, J Shi - Journal of Differential Equations, 2012 - Elsevier
A reaction–diffusion model with logistic type growth, nonlocal delay effect and Dirichlet
boundary condition is considered, and combined effect of the time delay and nonlocal …
boundary condition is considered, and combined effect of the time delay and nonlocal …
Cross-diffusion-induced patterns in an SIR epidemic model on complex networks
Infectious diseases are a major threat to global health. Spatial patterns revealed by
epidemic models governed by reaction–diffusion systems can serve as a potential trend …
epidemic models governed by reaction–diffusion systems can serve as a potential trend …
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 …
Optimal control of pattern formations for an SIR reaction–diffusion epidemic model
L Chang, S Gao, Z Wang - Journal of theoretical biology, 2022 - Elsevier
Patterns arising from the reaction–diffusion epidemic model provide insightful aspects into
the transmission of infectious diseases. For a classic SIR reaction–diffusion epidemic model …
the transmission of infectious diseases. For a classic SIR reaction–diffusion epidemic model …
Nonlocal interactions between vegetation induce spatial patterning
Vegetation pattern provides useful signals for vegetation protection and can be identified as
an early warning of desertification. In some arid or semi-arid regions, vegetation absorbs …
an early warning of desertification. In some arid or semi-arid regions, vegetation absorbs …
[图书][B] Nonlocal Modeling, Analysis, and Computation: Nonlocal Modeling, Analysis, and Computation
Q Du - 2019 - SIAM
Nonlocal Modeling, Analysis, and Computation : Back Matter Page 1 Bibliography [1] L.
ABDELOUHAB, J. BONA, M. FELLAND, AND J.-C. SAUT, Nonlocal models for nonlinear …
ABDELOUHAB, J. BONA, M. FELLAND, AND J.-C. SAUT, Nonlocal models for nonlinear …
Clustering, advection, and patterns in a model of population dynamics with neighborhood-dependent rates
E Hernández-García, C López - Physical Review E—Statistical, Nonlinear, and …, 2004 - APS
We introduce a simple model of population dynamics which considers reproducing
individuals or particles with birth and death rates depending on the number of other …
individuals or particles with birth and death rates depending on the number of other …