Dynamics of an ecological prey–predator model based on the generalized Hattaf fractional derivative

In this paper, we propose and analyze a fractional prey–predator model with generalized Hattaf fractional (GHF) derivative. We prove that our proposed model is ecologically and mathematically well-posed. Furthermore, we show that our model has three equilibrium points. Finally, we establish the stab...

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Published inMathematical Modeling and Computing Vol. 11; no. 1; pp. 166 - 177
Main Authors Assadiki, F., El Younoussi, M., Hattaf, K., Yousfi, N.
Format Journal Article
LanguageEnglish
Published 2024
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ISSN2312-9794
2415-3788
DOI10.23939/mmc2024.01.166

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Summary:In this paper, we propose and analyze a fractional prey–predator model with generalized Hattaf fractional (GHF) derivative. We prove that our proposed model is ecologically and mathematically well-posed. Furthermore, we show that our model has three equilibrium points. Finally, we establish the stability of these equilibria.
ISSN:2312-9794
2415-3788
DOI:10.23939/mmc2024.01.166