A fractional modeling approach of Buruli ulcer in Possum mammals

被引:12
作者
Farhan, Muhammad [1 ]
Shah, Zahir [2 ]
Jan, Rashid [3 ]
Islam, Saeed [2 ]
机构
[1] Abdul Wali Khan Univ Mardan, Dept Math, Mardan 23200, KP, Pakistan
[2] Univ Lakki Marwat, Dept Math Sci, Lakki Marwat 28420, KP, Pakistan
[3] Univ Swabi, Dept Math, Swabi 23430, KP, Pakistan
关键词
possummammall; Buruli ulcer; Mycobacterium ulcerans (MU); stability; Lyapunove function theory; MYCOBACTERIUM-ULCERANS; LYAPUNOV FUNCTIONS; ORDER; EPIDEMIC; TRANSMISSION; SIMULATION; STABILITY; INFLUENZA; VECTOR;
D O I
10.1088/1402-4896/acd27d
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Buruli ulcer is an increasingly common tropical disease that has been even ignored in advanced nations like Australia and Japan. Some mammals, including possums, have shown symptoms of the disease. Fractional derivatives are applied for a better understanding of biological processes and their crossover behavior. Infectious disease can be controlled by predicting the future spread while using Mathematical Models. Recently, various mathematical models based on classical integer-order and non-integer-order models have been proposed to predict the dynamics of infectious disease outbreaks. As a consequence, it is investigated the dynamics of the possum model using non-integer order derivatives in order to gain a better understanding and deeper insight into several biological models. The model's important properties, such as the positivity of the model solution, equilibrium points, and the invariant property of the proposed model have also been discussed. The next-generation approach is used to compute the basic reproductive number ?0 ?0
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页数:18
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