A FRACTIONAL-ORDER BOVINE BABESIOSIS EPIDEMIC TRANSMISSION MODEL WITH NONSINGULAR MITTAG-LEFFLER LAW

被引：3
作者：
Slimane, Ibrahim [1 ]
Nieto, Juan J. J. [2 ]
Ahmad, Shabir [3 ]
机构：
[1] Univ Mostaganem, Fac Exact Sci & Informat, UMAB Abdelhamid Ibn Badis, POB 227, Mostaganem 27000, Algeria
[2] Univ Santiago de Compostela, Galician Ctr Math Res & Technol, Dept Stat Math Anal & Optimizat, Santiago De Compostela 15782, Spain
[3] Univ Malakand, Dept Math, Dir Lower, Khyber Pakhtunk, Pakistan
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 02期
关键词：
Bovine Babesiosis; Fractional Operators; Existence and Stability Theory; Adams-Bashforth Technique; ORDINARY DIFFERENTIAL-EQUATIONS; BEHAVIOR;
D O I：
10.1142/S0218348X23400339
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the model for bovine babesiosis epidemic transmission is analyzed using a fractional operator with a Mittag-Leffler kernel. The existence and uniqueness of the solution of the considered model is studied using real analysis. The Hyers-Ulam (HU) stability is investigated with the help of nonlinear functional analysis. The numerical results of the proposed model are deduced through the Adams-Bashforth technique, which is based on the two-step Lagrangian interpolation method. All results are simulated for a few fractional orders to observe the dynamics of the proposed model.
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页数：16
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