A nonlocal logistic equation with nonlinear advection term
Romildo N. de Lima, Ronaldo C. Duarte, Marco A. S. Souto
TL;DR
This paper investigates a nonlocal logistic equation incorporating a nonlinear advection term, aiming to understand its mathematical properties and potential applications in modeling complex systems.
Contribution
It introduces a novel nonlocal logistic model with nonlinear advection, expanding the theoretical framework for such equations.
Findings
Existence and uniqueness of solutions established
Behavior of solutions analyzed under various conditions
Potential applications in biological and physical systems
Abstract
In this paper, we study a nonlocal logistic equation with nonlinear advection term.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Nonlinear Differential Equations Analysis · Differential Equations and Boundary Problems