Existence and Uniqueness of a Solution for a Four-Stage Age-Structured Population Dynamics Model With Spatial Diffusion for Desert Locusts

Autor: Ramdé Nestor, Traoré Amidou, Simporé Yacouba, Nakoulima Ousseynou
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 2024 (2024)
Druh dokumentu: article
ISSN: 1687-0425
DOI: 10.1155/2024/8421625
Popis: We consider a linear system based on a population dynamics model dependent on age, space and nonlocal boundary conditions. Note that our population dynamics model is a four-step model with a second derivative with respect to the age variable and a second derivative with respect to the space variable. Population growth at each stage depends on time and space. We prove the uniqueness and existence of a positive solution by combining the Galerkin’s variational method and the Banach’s fixed point theorem.
Databáze: Directory of Open Access Journals
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