Mathematical modeling of population dynamics with Allee effect
GQ Sun - Nonlinear Dynamics, 2016 - Springer
Allee effect that refers to a positive relationship between individual fitness and population
density provides an important conceptual framework in conservation biology. While …
density provides an important conceptual framework in conservation biology. While …
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 …
[HTML][HTML] Population dynamics with multiple Allee effects induced by fear factors–A mathematical study on prey-predator interactions
SK Sasmal - Applied Mathematical Modelling, 2018 - Elsevier
In the present, ecologists generally consider the interactions, which are directly related to the
density effects, that species have on each other, like predation, mutualism, refuge, etc …
density effects, that species have on each other, like predation, mutualism, refuge, etc …
[图书][B] Spatiotemporal patterns in ecology and epidemiology: theory, models, and simulation
H Malchow, SV Petrovskii, E Venturino - 2007 - taylorfrancis.com
Although the spatial dimension of ecosystem dynamics is now widely recognized, the
specific mechanisms behind species patterning in space are still poorly understood and the …
specific mechanisms behind species patterning in space are still poorly understood and the …
[HTML][HTML] Mechanistic movement models to predict geographic range expansions of ticks and tick-borne pathogens: Case studies with Ixodes scapularis and …
The geographic range of the blacklegged tick, Ixodes scapularis, is expanding northward
from the United States into southern Canada, and studies suggest that the lone star tick …
from the United States into southern Canada, and studies suggest that the lone star tick …
[图书][B] Complexity, analysis and control of singular biological systems
Complexity, Analysis and Control of Singular Biological Systems follows the control of real-
world biological systems at both ecological and phyisological levels concentrating on the …
world biological systems at both ecological and phyisological levels concentrating on the …
Can pathogen spread keep pace with its host invasion?
We consider the Fisher-KPP equation in a wavelike shifting environment for which the wave
profile of the environment is given by a monotonically decreasing function changing signs …
profile of the environment is given by a monotonically decreasing function changing signs …
Quarantine in a multi-species epidemic model with spatial dynamics
J Arino, R Jordan, P Van den Driessche - Mathematical biosciences, 2007 - Elsevier
Motivation is provided for the development of infectious disease models that incorporate the
movement of individuals over a range of spatial scales. A general model is formulated for a …
movement of individuals over a range of spatial scales. A general model is formulated for a …
Disease-induced stabilization of predator–prey oscillations
FM Hilker, K Schmitz - Journal of Theoretical Biology, 2008 - Elsevier
Parasites are an integral part of virtually all food webs and species communities. Here we
consider the invasion of a resident predator–prey system by an infectious disease with …
consider the invasion of a resident predator–prey system by an infectious disease with …
[HTML][HTML] Analysis and control of an SEIR epidemic system with nonlinear transmission rate
N Yi, Q Zhang, K Mao, D Yang, Q Li - Mathematical and computer …, 2009 - Elsevier
In this paper, the dynamical behaviors of an SEIR epidemic system governed by differential
and algebraic equations with seasonal forcing in transmission rate are studied. The cases of …
and algebraic equations with seasonal forcing in transmission rate are studied. The cases of …