Modeling the effects of climate change on the population dynamics of mosquitoes that are vectors of infectious diseases

• Díaz-Marín, Homero ^[1] ; Osuna, Osvaldo ^[1]
  1. [1] Universidad Michoacana.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 4, 2023, págs. 1031-1049
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5844
• Enlaces
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• Resumen

  • We incorporate almost periodic functions in a mosquito model to take into account a loss of synchronicity in the population dynamics of mosquitoes due to climate change. The model takes into account the skip oviposition strategy that is associated with the mosquitoes that are vectors of infectious diseases as dengue, malaria and leishmaniasis.

    We prove existence and uniqueness of a stable almost periodic solution for some conditions over the parameters of the model. Numerical simulations are performed using values estimated for the life cycle of Aedes albopictus gathered in literature. The results show that the vector population can be underestimated or overestimated if an almost periodic dynamics is approximated by a periodic dynamics. Therefore, using an almost seasonal model can be more adequate to design breeding habitat-targeted mosquito control strategies when seasonal drivers are modeled since climate-mediated shifts can induce a loss of periodicity in environmental drivers.

• Referencias bibliográficas
  • H. Bohr, Almost Periodic Functions. New York, N. Y.: Chelsea Publishing Company, 1947.
  • A. Bomblies, “Modeling the role of rainfall patterns in seasonalmalaria transmission”, Climatic Change, vol. 112, pp. 673-685, 2012. https://doi.org/10.1007/s10584-011-0230-6
  • H. Chen and U. Fillinger and G. Yan, “Oviposition behavior of female Anopheles gambiae in western Kenya inferred from microsatellite markers”,...
  • C. Corduneanu, N. Gheorghiu and V. Barbu, Almost periodic functions. New York: Interscience Publishers, 1968.
  • H. Delatte and G. Gimonneau and A. Triboire and D. Fontenille, “Influence of Temperature on Immature Development, Survival, Longevity, Fecundity,...
  • B. Dembele, A. Friedman and A. Yakubu, “Malaria model with periodic mosquito birth and death rates”, Journal of biological dynamics, vol....
  • H. G. Díaz-Marín, F. López-Hernández and O. Osuna, “Almost periodic solutions for seasonal cooperative systems”, Annales Polonici Mathematic,...
  • C. Duffourd and Y. Dumont, “Impact of environmental factors on mosquito dispersal in the prospect of sterile insect technique control”, Computers...
  • Y. Dumont and J. Thulliez, “Human behaviors: A threat to mosquito control?”, Mathematical Biosciences, vol. 281, pp. 9-23, 2016. https://doi.org/10.1016/j.mbs.2016.08.011
  • S. E. Eikenberry and A. B. Gummel, “Mathematical modeling of climate change and malaria transmission dynamics: a historical review”, Mathematical...
  • A. Elaagip, A. Ahmed, M. D. Wilson, D. A. Boakye and M. M. Abdel-Hamid “Studies of host preferences of wild-caught Phlebotomus orientalis...
  • A. Karmaou, “Seasonal Distribution of Phlebotomus papatasi, Vector of Zoonotic Cutaneous Leishmaniasis”, Acta Parasitologica, vol. 65, no....
  • C. J. M. Koenraadt, A. K. Githeko and W. Takken, “The effects of rainfall and evapotranspiration on the temporal dynamics of Anopheles gambiae...
  • G. L. McLaughlin and G. Wasserberg, “Spatial Bet Hedging in Sand Fly Oviposition: Factors Affecting Skip Oviposition in Phlebotomus papatasi...
  • V. S. Mwingira, J. Spitzen, L. G. E. Mboera, J. L. Torres-Estrada and W. Takken, “The Influence of Larval Stage and Density on Oviposition...
  • J. O. Odero, U. Fillinger, E. J. Rippon, D. K. Masiga and D. Weetman, “Using sibship reconstructions to understand the relationship between...
  • M. N. Otal, J. M Lindh, S. J Torr, E. Masinde, B. Orindi, S. W Lindsay and U. Fillinger, “Analysing the oviposition behaviour of malaria mosquitoes:...
  • P. E. Parham and E. Michael, “Modeling the Effects of Weather and Climate Change on Malaria Transmission”, Environmental Health Perspectives,...
  • L. Qiang and B. G. Wang, “An almost periodic Malaria transmission model with time delayed input of vector”, Discrete and continuous dynamical...
  • J. Rajarethinam, J. Ong, Z. W. Neo, L. C. Ng and J. Aik, “Distribution and seasonal fluctuations of Ae. aegypti and Ae. albopictus larval...
  • H. L. Smith, Monotone Dynamical Systems: an introduction to the theory of competitive and cooperative systems. Mathematical Surveys and Monographs,...
  • H. L. Smith, “Dynamics of competition,” in Mathematics Inspired by Biology, V. Capasso, Ed. Berlin: Springer, 1999, pp. 191-240. https://doi.org/10.1007/BFb0092378
  • B. G. Wang, L. Qiang and Z. C. Wang, “An almost periodic Ross-Macdonald model with structured vector population in a patchy environment”,...
  • A. Wasserberg, I. Yarom and A. Warburg, “Seasonal abundance patterns of the sandfly Phlebotomus papatasi in climatically distinct foci of...
  • S. Yaredab, A. Gebresilassieb, E. Akililuc, M. Balkewa, A. Warburgd, A. Hailue and T. Gebre-Michaela, “Habitat preference and seasonal dynamics...