Related Experiment Video
Updated: May 19, 2026

Modeling the Size Spectrum for Macroinvertebrates and Fishes in Stream Ecosystems
Published on: July 30, 2019
A monotone approximation for a size-structured population model with a generalized environment
Azmy S Ackleh1, Keng Deng, Jeremy J Thibodeaux
1Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504-1010, USA. ackleh@louisiana.edu
Abstract:
We study a nonlinear size-structured population model with an environment general enough to include hierarchy. We also remove the standard requirement that individuals have nonnegative growth rates, which allows the modeling of populations in which individuals may experience a reduction in size. To show existence and uniqueness of the solution to the model, we establish a comparison principle and construct monotone sequences. A fully discretized numerical scheme based on these monotone sequences is presented and utilized to provide some numerical examples.
Related Concept Videos
Modeling with Differential Equations
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Mechanistic Models: Compartment Models in Individual and Population Analysis
Population Growth
Growth Models with Integration: Problem Solving
Exponential Equations for Modeling Growth

