An Analysis on the Influence of Network Topologies on Local and Global Dynamics of Metapopulation Systems
Daniela Besozzi (Universit\`a degli Studi di Milano), Paolo Cazzaniga, (Universit\`a degli Studi di Milano-Bicocca), Dario Pescini (Universit\`a, degli Studi di Milano-Bicocca), Giancarlo Mauri (Universit\`a degli Studi di, Milano-Bicocca)

TL;DR
This paper investigates how different habitat network structures affect the local and global behaviors of ecological metapopulations using a stochastic simulation model, highlighting the impact of migration and colonization dynamics.
Contribution
It introduces a novel stochastic membrane system model to analyze the influence of habitat topologies on metapopulation dynamics, focusing on migration and colonization processes.
Findings
Habitat topology significantly affects migration patterns.
Different network structures influence colonization success.
Simulation results suggest optimal configurations for conservation strategies.
Abstract
Metapopulations are models of ecological systems, describing the interactions and the behavior of populations that live in fragmented habitats. In this paper, we present a model of metapopulations based on the multivolume simulation algorithm tau-DPP, a stochastic class of membrane systems, that we utilize to investigate the influence that different habitat topologies can have on the local and global dynamics of metapopulations. In particular, we focus our analysis on the migration rate of individuals among adjacent patches, and on their capability of colonizing the empty patches in the habitat. We compare the simulation results obtained for each habitat topology, and conclude the paper with some proposals for other research issues concerning metapopulations.
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