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Article Dans Une Revue International Journal of Biomathematics Année : 2022

Stochastic Nicholson’s blowflies model with delays

Nadia Belmabrouk
  • Fonction : Auteur
  • PersonId : 1217132
Mondher Damak
  • Fonction : Collaborateur
  • PersonId : 1217133
Mohsen Miraoui
  • Fonction : Collaborateur
  • PersonId : 1217134

Résumé

In this research work, we introduce a new concept of double measure ergodic processes to identify the space of double measure pseudo almost periodic (or pap) processes in the pth mean sense. We display some findings regarding the completeness as well as the composition theorems and the invariance of the space consisting in double measure pap processes. Motivated by the above-mentioned results, the Banach fixed point theorem and the stochastic analysis techniques, we prove the existence, uniqueness and the global exponential stability of doubly measure pseudo almost periodic mild solution for a class of stochastic Nicholson's blowflies model with mixed delays in a separable real Hilbert space. The concluding part of the work is crowned with an example to confirm the reliability and feasibility of our findings.
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Dates et versions

hal-03945925 , version 1 (18-01-2023)

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Nadia Belmabrouk, Mondher Damak, Mohsen Miraoui. Stochastic Nicholson’s blowflies model with delays. International Journal of Biomathematics, 2022, 16, ⟨10.1142/s1793524522500656⟩. ⟨hal-03945925⟩

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