EXTINCTION

作品数：424被引量：540H指数：10
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EXTINCTION OF A DISCRETE COMPETITIVE SYSTEM WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE AND THE EFFECT OF TOXIC SUBSTANCES
《Annals of Applied Mathematics》2020年第4期356-378,共23页Jiangbin Chen Shengbin Yu 
The research was supported by the Natural Science Foundation of Fujian Province(2019J01089);Program for New Century Excellent Talents in Fujian Province University(2017,2018).
In this paper, we consider a discrete competitive system with BeddingtonDe Angelis functional response and the effect of toxic substances. By constructing some suitable Lyapunov type extinction functions, sufficient c...
关键词：discrete competitive system Beddington-DeAngelis functional response EXTINCTION toxic substances 
EFFECTS OF MEDIA COVERAGE AND TEMPORARY IMMUNITY TO A STOCHASTIC SEIR EPIDEMIC MODEL被引量：4
《Annals of Applied Mathematics》2020年第4期442-458,共17页Jing Zhang Fengying Wei 
This work was supported by NSFC under grant 61911530398;Natural Science Foundation of Fujian Province of China under grant 2016J01015.
A type of SEIR epidemic model with media coverage and temporary immunity is investigated in this paper. The existence and uniqueness of the global positive solution with any positive initial value is proved. Under the...
关键词：stochastic SEIR model media coverage temporary immunity PERSISTENCE EXTINCTION stationary distribution 
ANALYSIS OF AN EPIDEMIC MODEL WITH CROWLEY-MARTIN INCIDENCE RATE AND HOLLING TYPE Ⅱ TREATMENT
《Annals of Applied Mathematics》2020年第2期204-220,共17页Liuqing Yang Fengying Wei 
supported by NSFC under grants 11201075 and 11601085。
We propose an epidemic model consisting five compartments within a total population with Crowley-Martin incidence rate and Holling type Ⅱ treatment,where total population is separated by the susceptible, the vaccinat...
关键词：epidemic model Crowley-Martin incidence rate EXTINCTION PERSISTENCE 
LONG-TERM DYNAMIC ANALYSIS OF ENDANGERED SPECIES WITH STAGE-STRUCTURE AND MIGRATIONS IN POLLUTED ENVIRONMENTS
《Annals of Applied Mathematics》2020年第1期48-72,共25页Fangfang Liu Kexin Wang Fengying Wei 
supported by the NSFC(Grant No.61911530398)
We propose a stochastic stage-structured single-species model with migrations and hunting within a polluted environment,where the species is separated into two groups:the immature and the mature,which migrates from on...
关键词：protection zones STAGE-STRUCTURE random perturbations MIGRATION extinction and persistence 
THE STABILITY OF A REACTION-DIFFUSION LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH NONLOCAL DELAYS AND FEEDBACK CONTROLS被引量：1
《Annals of Applied Mathematics》2019年第1期71-98,共28页Zhong Li Zhenliang Zhu 
supported by the foundation of Fujian Education Bureau(JAT160063)
In this paper, we consider a Lotka-Volterra competitive system with nonlocal delays and feedback controls. Using the Lyapunov functional and iterative technique method, we investigate the global stability and extincti...
关键词：EXTINCTION feedback control REACTION-DIFFUSION LOTKA-VOLTERRA NONLOCAL DELAYS 
DYNAMICAL ANALYSIS OF A SINGLE-SPECIES POPULATION MODEL WITH MIGRATIONS AND HARVEST BETWEEN PATCHES
《Annals of Applied Mathematics》2018年第2期183-198,共16页Chenjia Wang Fengying Wei 
supported by the National Natural Science Foundation of China(Grant Nos.11201075,11601085 and 61773122);Natural Science Foundation of Fujian Province(Grant No.2016J01015)
A single-species population model with migrations and harvest between the protected patch and the unprotected patch is formulated and investigated in this paper. We study the local stability and the global stability o...
关键词：protection zone MIGRATIONS HARVESTING EXTINCTION 
DYNAMIC BEHAVIOURS OF AN AUTONOMOUS STAGE-STRUCTURED COMPETITIVE SYSTEMS WITH TOXIC EFFECT
《Annals of Applied Mathematics》2017年第4期400-416,共17页Liqiong Pu Xiangdong Xie 
supported by the Natural Science Foundation of Fujian Province(2015J01012,2015J01019)
An autonomous stage-structured competitive systems with toxic effect is investigated in this paper. Sufficient conditions which guarantee the global attractivity of the system and the extinction of the partial species...
关键词：global attractivity EXTINCTION DELAY toxic substance 
PERSISTENCE AND EXTINCTION OF A STOCHASTIC SIS EPIDEMIC MODEL WITH DOUBLE EPIDEMIC HYPOTHESIS
《Annals of Applied Mathematics》2017年第1期77-89,共13页Rui Xue Fengying Wei 
supported by the National Natural Science Foundation of China(Grant No.11201075);Natural Science Foundation of Fujian Province(Grant No.2016J01015);Scholarship under the Education Department of Fujian Province
In this paper, we aim at dynamical behaviors of a stochastic SIS epidemic model with double epidemic hypothesis. Sufficient conditions for the extinction and persistence in mean are derived via constructing suitable f...
关键词：double epidemic hypothesis Brownian motion EXTINCTION PERSISTENCE 
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