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

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  • Ramdé Nestor
  • Traoré Amidou
  • Simporé Yacouba
  • Nakoulima Ousseynou
  • Nawab Hussain

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.

Suggested Citation

  • Ramdé Nestor & Traoré Amidou & Simporé Yacouba & Nakoulima Ousseynou & Nawab Hussain, 2024. "Existence and Uniqueness of a Solution for a Four-Stage Age-Structured Population Dynamics Model With Spatial Diffusion for Desert Locusts," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2024, pages 1-16, November.
    • Handle: RePEc:hin:jijmms:8421625
    DOI: 10.1155/2024/8421625
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