GLOBAL STABILITY OF REACTION-DIFFUSION EQUATIONS WITH FRACTIONAL LAPLACIAN OPERATOR AND APPLICATIONS IN BIOLOGY

被引：0
|
作者：
El Hassani, Abdelaziz [1 ]
Hattaf, Khalid [1 ,2 ]
Achtaich, Naceur [1 ]
机构：
[1] Hassan II Univ Casablanca, Fac Sci Ben MSick, Lab Anal Modeling & Simulat LAMS, POB 7955 Sidi Othman, Casablanca, Morocco
[2] Ctr Reg Metiers Educ & Format CRMEF, Equipe Rech Modelisat & Enseignement Math ERMEM, Casablanca, Morocco
来源：
COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2022年
关键词：
fractional diffusion; biological systems; asymptotic stability; Lyapunov functional; EPIDEMIC MODEL; HBV MODEL; DYNAMICS;
D O I：
10.28919/cmbn/7485
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The main objective of this paper is to develop an efficient method to establish the global stability of some reaction-diffusion equations with fractional Laplacian operator. This method is based on Lyapunov functionals for ordinary differential equations (ODEs). A classical case of such types of fractional spacial diffusion equations is rigorously studied. Moreover, the developed method is applied to some biological systems arising from epidemiology and cancerology.
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页数：22
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