The dynamics analysis of Gompertz virus disease model under impulsive control

被引：18

作者：

Wang, Linjun ^{[1
,2
]}

She, Aiqing ^{[1
]}

Xie, Youxiang ^{[2
,3
]}

机构：

[1] China Three Gorges Univ, Coll Mech & Power Engn, Hubei key Lab Hydroelect Machinery Design & Mainte, Yichang 443002, Hubei, Peoples R China

[2] Hunan Univ, Sch Math, Changsha 410082, Hunan, Peoples R China

[3] China Three Gorges Univ, Coll Sci Technol, Yichang 443002, Hubei, Peoples R China

来源：

SCIENTIFIC REPORTS | 2023年 / 13卷 / 01期

关键词：

FUNCTIONAL-DIFFERENTIAL EQUATIONS; EPIDEMIC MODEL; NEURAL-NETWORK; PEST-CONTROL; STABILITY;

D O I：

10.1038/s41598-023-37205-x

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The pandemic of Gompertz virus disease remains a pressing issue in agricultural production. Moreover, the dynamics of various infectious diseases is usually investigated by the method of mathematical modelling. A new mathematical model for dynamics on Gompertz virus disease impulsive system is proposed and analyzed in this paper. We prove the dynamic characteristics about the permanence and globally exponential stability of Gompertz virus disease model. Moreover, we also give the sufficient condition that one positive solution which satisfies E(t) & GE; q(2) if R-1* > 1 exists. Eventually, numerical simulations are utilized to validate the validity of the theoretically analyzed conclusion in this paper.

引用

页数：14

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