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Conformable fractional-order modeling and analysis of HIV/AIDS transmission dynamics - MaRDI portal

Conformable fractional-order modeling and analysis of HIV/AIDS transmission dynamics (Q6597162)

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scientific article; zbMATH DE number 7905671
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Conformable fractional-order modeling and analysis of HIV/AIDS transmission dynamics
scientific article; zbMATH DE number 7905671

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    Conformable fractional-order modeling and analysis of HIV/AIDS transmission dynamics (English)
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    3 September 2024
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    A fractional order model is presented for HIV/AIDS transmission using a conformable fractional derivative in the Liouville-Caputo sense. Using fixed point theorems, the existence and uniqueness of the solutions is studied. The basic reproduction number is determined and local stability properties of the disease-free equilibrium are studied. Using numerical simulations applying the Adams-Moulton approach, the authors studied the effects of various biological characteristics on the system and different values of fractional orders were simulated numerically.
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    HIV transmission model
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    fractional order derivative
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