A system of state-dependent delay differential equation modelling forest growth II: boundedness of solutions

TL;DR

This paper studies a class of state-dependent delay differential equations modeling forest growth, proving the boundedness of solutions for both single and two-species models, which is crucial for understanding long-term forest dynamics.

Contribution

It establishes the boundedness of solutions for a new class of state-dependent delay differential equations in forest growth models, extending previous results.

Findings

Solutions are bounded in single-species models.

Solutions are bounded in two-species models.

Provides mathematical foundation for long-term forest growth analysis.

Abstract

In this article we consider a class of state-dependent delay differential equations which is modelling the dynamics of the number of adult trees in forests. We prove the boundedness of solutions for a single species model as well as a two-species model.