Critical patch size reduction by heterogeneous diffusion
arXiv:2008.02907 · doi:10.1103/PhysRevE.102.042139
Abstract
Population survival depends on a large set of factors that includes environment structure. Due to landscape heterogeneity, species can occupy particular regions that provide the ideal scenario for development, working as a refuge from harmful environmental conditions. Survival occurs if population growth overcomes the losses caused by adventurous individuals that cross the patch edge. In this work, we consider a single species dynamics in a bounded domain with a space-dependent diffusion coefficient. We investigate the impact of heterogeneous diffusion on the minimal patch size that allows population survival and show that, typically, this critical size is smaller than the one for a homogeneous medium with the same average diffusivity.
arXiv comment7 pages, 5 figures
References in corpus (20)
- Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes
- First passage time distribution in heterogeneity controlled kinetics: going beyond the mean first passage time
- Clustering, advection and patterns in a model of population dynamics with neighborhood-dependent rates
- Infinite Ergodic Theory for Heterogeneous Diffusion Processes
- Optimizing the search for resources by sharing information: Mongolian gazelles as a case study
- Localization and extinction of bacterial populations under inhomogeneous growth conditions
- Multiplicative Lévy processes: Itô versus Stratonovich interpretation
- Heterogeneous diffusion in comb and fractal grid structures
- Extinction transition in bacterial colonies under forced convection
- Chemotaxis When Bacteria Remember: Drift versus Diffusion
- Nonlinearity in Bacterial Population Dynamics: Proposal for Experiments for the Observation of Abrupt Transitions in Patches
- Motility of \textit{Escherichia coli} in a quasi-two-dimensional porous medium
- Fractional Fokker-Planck equation from non-singular kernel operators
- Metapopulation dynamics in a complex ecological landscape
- Influence of external potentials on heterogeneous diffusion processes
- Diffusion in heterogeneous discs and spheres: new closed-form expressions for exit times and homogenization formulae
- Extinction dynamics of a discrete population in an oasis
- Periodically Varying Externally Imposed Environmental Effects on Population Dynamics
- Population dynamics in an intermittent refuge
- Connecting metapopulation heterogeneity to aggregated lifetime statistics
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