典型文献
Asymptotic analysis of a nonlinear stochastic eco-epidemiological system with feedback control
文献摘要：
This paper proposes a new stochastic eco-epidemiological model with nonlinear incidence rate and feedback controls.First,we prove that the stochastic system has a unique global positive solution.Second,by constructing a series of appropriate stochastic Lyapunov functions,the asymptotic behaviors around the equilibria of deterministic model are obtained,and we demonstrate that the stochastic system exists a stationary Markov process.Third,the conditions for persistence in the mean and extinction of the stochastic system are established.Finally,we carry out some numerical simulations with respect to different stochastic parameters to verify our analytical results.The obtained results indicate that the stochastic perturbations and feedback controls have crucial effects on the survivability of system.
文献关键词：
中图分类号：
作者姓名：
ZHANG Sheng-qiang;MENG Xin-zhu
作者机构：
College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao 266590,China;Business School,University of Shanghai for Science and Technology,Shanghai 200093,China
文献出处：
引用格式：
[1]ZHANG Sheng-qiang;MENG Xin-zhu-.Asymptotic analysis of a nonlinear stochastic eco-epidemiological system with feedback control)[J].高校应用数学学报B辑（英文版）,2022(03):317-339
A类：
B类：
Asymptotic,analysis,nonlinear,stochastic,epidemiological,system,feedback,This,paper,proposes,new,model,incidence,controls,First,we,prove,that,unique,global,positive,solution,Second,by,constructing,series,appropriate,Lyapunov,functions,asymptotic,behaviors,around,equilibria,deterministic,are,obtained,demonstrate,exists,stationary,Markov,process,Third,conditions,persistence,mean,extinction,established,Finally,carry,out,some,numerical,simulations,respect,different,parameters,verify,our,analytical,results,indicate,perturbations,have,crucial,effects,survivability
AB值：
0.622195
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