Modeling climate-mediated shifts: An almost periodic approach to exploitation and interference competition

Authors

  • Osvaldo Osuna Instituto de Física y Matemáticas, Universidad Michoacana, Ciudad Universitaria, C.P. 58040. Morelia, Michoacán, México.
  • Cristian Rojas-Milla Departamento de matemática, Universidad del Atlántico, Barranquilla, Colombia.
  • Geiser Villavicencio-Pulido División de Ciencias Biológicas y de la Salud, Depto. de Ciencias Ambientales, Universidad Autónoma Metropolitana Unidad Lerma, Av. Hidalgo Poniente No. 46, col. La Estación, 52006 Lerma de Villada, Edo. de México, México.

DOI:

https://doi.org/10.17268/sel.mat.2026.01.01

Keywords:

Exploitation competition, interference competition, globally stable attractor, almost periodic functions, competitive systems

Abstract

We consider an almost periodic competition model to analyze the simultaneous effects of exploitation and interference competition. Based on the analysis of the model, we prove the existence, uniqueness, and global stability of an almost periodic solution under certain conditions. Through numerical simulations, we illustrate the results obtained analytically. Finally, the results are discussed in detail from a biological perspective.

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Published

2026-07-27

How to Cite

Modeling climate-mediated shifts: An almost periodic approach to exploitation and interference competition. (2026). Selecciones Matemáticas, 13(01), 1-10. https://doi.org/10.17268/sel.mat.2026.01.01

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