Spatiotemporal dynamics for impulsive eco-epidemiological model with Crowley-Martin type functional response

被引：2
作者：
Huo, Haifeng [1 ]
Zhang, Fanhong [1 ]
Xiang, Hong [1 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Peoples R China
来源：
MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2022年 / 19卷 / 12期
基金：
中国国家自然科学基金;
关键词：
eco-epidemiological model; reaction-diffusion; Crowley-Martin type; impulsive effects; positive periodic solution; PREDATOR-PREY SYSTEM;
D O I：
10.3934/mbe.2022567
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Spatiotemporal dynamics of an impulsive eco-epidemiological model with Crowley-Martin type functional responses in a heterogeneous space is studied. The ultimate boundedness of solutions is obtained. The conditions of persistence and extinction under impulsive controls are derived. Fur-thermore, the existence and globally asymptotic stability of a unique positive periodic solutions are proved. Numerical simulations are also shown to illustrate our theoretical results. Our results show that impulsive harvesting can accelerate the extinction of ecological epidemics.
引用
收藏
页码：12180 / 12211
页数：32
相关论文
共 34 条
[21]   On the Dynamics of an Impulsive Reaction-Diffusion Predator-Prey System with Ratio-Dependent Functional Response [J].
Liu, Zijian ;
Zhong, Shouming ;
Yin, Chun ;
Chen, Wufan .
ACTA APPLICANDAE MATHEMATICAE, 2011, 115 (03) :329-349
[22]   Effects of impulsive harvesting and an evolving domain in a diffusive logistic model* [J].
Meng, Yue ;
Lin, Zhigui ;
Pedersen, Michael .
NONLINEARITY, 2021, 34 (10) :7005-7029
[23]   Variational approach to impulsive differential equations [J].
Nieto, Juan J. ;
O'Regan, Donal .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) :680-690
[24]   Normative influences on impulsive buying behavior [J].
Rook, DW ;
Fisher, RJ .
JOURNAL OF CONSUMER RESEARCH, 1995, 22 (03) :305-313
[25]  
Samoilenko AM., 1995, WORLD SCI SER NONLIN, DOI [10.1142/2892, DOI 10.1142/2892]
[26]   Analysis of a stage-structured predator-prey model with Crowley-Martin function [J].
Shi X. ;
Zhou X. ;
Song X. .
Journal of Applied Mathematics and Computing, 2011, 36 (1-2) :459-472
[27]  
Smith H., 1999, MATH INSPIRED BIOL, V1714, P191, DOI [10.1007/BFb0092378, DOI 10.1007/BFB0092378]
[28]  
Struk O.O., 2002, UKR MATH J+, V54, P629, DOI [10.1023/A:1021039528, 10.1023/A:1021039528818, DOI 10.1023/A:1021039528818]
[29]   Dynamics of a three species food chain model with Crowley-Martin type functional response [J].
Upadhyay, Ranjit Kumar ;
Naji, Raid Kamel .
CHAOS SOLITONS & FRACTALS, 2009, 42 (03) :1337-1346
[30]   Differential inequalities and maximum principles: Theory, new methods and applications [J].
Walter, W .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (08) :4695-4711
1234