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The effect of dispersal on asymptotic total population size in discrete- and continuous-time two-patch models
Many populations occupy spatially fragmented landscapes. How dispersal affects the asymptotic total population size is a key question for...
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Predator-induced prey dispersal can cause hump-shaped density-area relationships in prey populations
Predation can both reduce prey abundance directly (through density-dependent effects) and indirectly through prey trait-mediated effects. Over the...
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Population dynamics with resource-dependent dispersal: single- and two-species models
In this paper, we consider the population models with resource-dependent dispersal for single-species and two-species with competition. For the...
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Ideal free dispersal in integrodifference models
In this paper, we use an integrodifference equation model and pairwise invasion analysis to find what dispersal strategies are evolutionarily stable...
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Dispersal-induced growth in a time-periodic environment
Dispersal-induced growth (DIG) occurs when several populations with time-varying growth rates, each of which, when isolated, would become extinct,...
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Bifurcation and Pattern Formation in an Activator–Inhibitor Model with Non-local Dispersal
In this paper, by approximating the non-local spatial dispersal equation by an associated reaction–diffusion system, an activator–inhibitor model...
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Life history traits and dispersal shape neutral genetic diversity in metapopulations
Genetic diversity at population scale, depends on species life-history traits, population dynamics and local and global environmental factors. We...
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Planktos: An Agent-Based Modeling Framework for Small Organism Movement and Dispersal in a Fluid Environment with Immersed Structures
Multiscale modeling of marine and aerial plankton has traditionally been difficult to address holistically due to the challenge of resolving...
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Impact of the impulsive releases and Allee effect on the dispersal behavior of the wild mosquitoes
We develop a mathematical model of the wild mosquito dispersal with impulsive releases of the sterile mosquitoes and obtain a threshold condition...
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On the Lotka–Volterra competition system with dynamical resources and density-dependent diffusion
In this paper, we consider the following Lotka–Volterra competition system with dynamical resources and density-dependent diffusion in a bounded...
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Dynamics for a Three-Species Predator-Prey Model with Density-Dependent Motilities
This work deals with a general cross-diffusion system modeling the dynamics behavior of two predators and one prey with signal-dependent diffusion...
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Dispersal and Good Habitat Quality Promote Neutral Genetic Diversity in Metapopulations
Dispersal is a fundamental and crucial ecological process for a metapopulation to survive in heterogeneous or changing habitats. In this paper, we...
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Population abundance of two-patch competitive systems with asymmetric dispersal
This paper considers two-species competitive systems with two patches, in which one of the species can move between the patches. One patch is a...
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Stability switches in a ring-structured predator–prey metapopulation model with dispersal delay
In this paper, we consider a predator–prey metapopulation model with a ring-structured configuration of an arbitrary and finite number of patches....
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Integrodifference models for evolutionary processes in biological invasions
Individual variability in dispersal and reproduction abilities can lead to evolutionary processes that may have significant effects on the speed and...
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Bat Motion can be Described by Leap Frogging
We present models of bat motion derived from radio-tracking data collected over 14 nights. The data presents an initial dispersal period and a return...
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Dynamics of a Nonlocal Dispersal Foot-and-Mouth Disease Model in a Spatially Heterogeneous Environment
Foot-and-mouth disease is one of the major contagious zoonotic diseases in the world. It is caused by various species of the genus Aphthovirus of the...
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Dynamics and Profiles of a Diffusive Cholera Model with Bacterial Hyperinfectivity and Distinct Dispersal Rates
This paper provides an analysis on global dynamics of a diffusive cholera model. We formulate the model by a reaction–diffusion system with...
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Source-Sink Dynamics in a Two-Patch SI Epidemic Model with Life Stages and No Recovery from Infection
This study presents a comprehensive analysis of a two-patch, two-life stage SI model without recovery from infection, focusing on the dynamics of...
