A multi-region nonlinear age-size structured fish population model

TL;DR

This paper introduces a comprehensive multi-region nonlinear age-size structured fish population model, proves its mathematical well-posedness, and analyzes how regional mortality impacts overall population dynamics.

Contribution

It presents a new generic model for multi-region fish populations and establishes existence, uniqueness, and comparison results for the model's solutions.

Findings

Existence and uniqueness of positive weak solutions are proven.

Population decreases with increased mortality in at least one region.

The model provides a framework for analyzing multi-region fish population dynamics.

Abstract

The goal of this paper is to present a generic multi-region nonlinear age-size structured fish population model, and to assess its mathematical well-posedness. An initial-boundary-value problem is formulated. Existence and uniqueness of a positive weak solution is proved. Eventually, a comparison result is derived: the population of all regions decreases as the mortality rate increases in at least one region.