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

Ramdé Nestor, Traoré Amidou, Simporé Yacouba, Nakoulima Ousseynou and Nawab Hussain

International Journal of Mathematics and Mathematical Sciences, 2024, vol. 2024, 1-16

Abstract: 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.

Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/ijmms/2024/8421625.pdf (application/pdf)
http://downloads.hindawi.com/journals/ijmms/2024/8421625.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:8421625

DOI: 10.1155/2024/8421625

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().