Related Experiment Video
Updated: Jul 14, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
Interplay between local dynamics and dispersal in discrete-time metapopulation models
Abdul-Aziz Yakubu1, Carlos Castillo-Chavez
1Department of Mathematics, Howard University, Washington, DC, 20059, USA. ayakubu@fac.howard.edu
Abstract:
The effects of synchronous dispersal on discrete-time metapopulation dynamics with local (patch) dynamics of the same (compensatory or overcompensatory) or mixed (compensatory and overcompensatory) types are explored. Single-species metapopulation models behave as single-species single-patch models, whenever all local patches are governed by compensatory dynamics. Dispersal gives rise to multiple attractors with complex basin structures, whenever some local patches are under overcompensatory dynamics. In mixed systems, dispersal is capable of altering the local dynamics from compensatory to overcompensatory dynamics and vice versa. Examples are provided of metapopulation models supporting multiple attractors with intermingled basins of attraction.
Related Concept Videos
What are Populations and Communities?
Distribution and Dispersion
Population Growth
Speciation Rates
Pharmacodynamic Models: Link Model and Systems Pharmacodynamic Model
Modeling with Differential Equations

