Total biomass of a single population in two-patch environments.

Area of Science:

• Mathematical Biology
• Ecology
• Population Dynamics

Background:

• The logistic model is a fundamental tool for studying population growth.
• Dispersal is a key ecological process influencing population distribution and abundance.
• Understanding how dispersal affects populations is crucial for conservation and management.

Purpose of the Study:

• To investigate the effects of dispersal intensity and asymmetry on total population abundance and distribution in a two-patch logistic model.
• To classify the model's parameter space regarding the impact of dispersal on total biomass.
• To analyze the dependencies of individual patch population abundances on dispersal parameters.

Main Methods:

• Analysis of a two-patch logistic model.
• Classification of the model parameter space.
• Characterization of population abundance and distribution under varying dispersal scenarios.

Main Results:

• Complete classifications of the parameter space were established, detailing when dispersal increases or decreases total biomass.
• The study fully characterized how individual patch abundances depend on dispersal intensity and asymmetry.
• Maximal and minimal total population sizes were determined for logistic models with any number of patches.

Conclusions:

• Dispersal significantly alters population abundance and distribution in logistic models.
• The findings provide a comprehensive understanding of dispersal effects across different ecological scenarios.
• This research offers valuable insights for predicting population dynamics and informing ecological management strategies.