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GLOBAL_ATTRACTIVITY: 作品数：97被引量：153H指数：7; 导出分析报告; 相关作者：李先义朱德明金银来李永昆更多>>; 相关机构：华东师范大学云南大学南华大学临沂师范学院更多>>; 相关期刊：《Acta Mathematicae Applicatae Sinica》《邵阳学院学报（社会科学版）》《商丘师范学院学报》《Acta Mathematica Scientia》更多>>; 相关基金：国家自然科学基金福建省自然科学基金河南省自然科学基金国家教育部博士点基金更多>>

Global analysis of a network-based SIR epidemic model with a saturated treatment function: 《International Journal of Biomathematics》2024年第6期269-291,共23页Xiaodan Wei; The research was supported in part by the NNSFC(grant 12071058);the Applied Basic Research Program of Department of Science and Technology of Liaoning Province of China(grant 2023JH2/101300095).; In this paper,we study a network-based SIR epidemic model with a saturated treatment function in which a parameterαis introduced to measure the extent of the effect of the infected being delayed for treatment.Our aim...; 关键词：SIR epidemic model complex network saturated treatment function global stability global attractivity

Mathematical analysis of pulse vaccination in controlling the dynamics of measles transmission: 《Infectious Disease Modelling》2023年第4期964-979,共16页Siwaphorn Kanchanarat Kadkanok Nudee Settapat Chinviriyasit Wirawan Chinviriyasit; the Petchra Pra Jom Klao Ph.D.research scholarship,King Mongkut's University of Technology Thonburi (KMUTT)for the financial support (No.31/2557).; Although the incidence of measles has been significantly reduced through vaccination,it remains an important public health problem.In this paper,a measles model with pulse vaccination is formulated to investigate the ...; 关键词：MEASLES Logistic growth Pulse vaccination Global attractivity Optimal vaccine PERMANENT

Global attractivity of Nicholson's blowflies system with patch structure and multiple pairs of distinct time-varying delays: 《International Journal of Biomathematics》2023年第3期1-21,共21页Xiaodan Ding; This work was supposed by Jiaxing public welfare research program(2022AD30113).; This paper is intended to investigate a class of Nicholson's blowflies system with patch structure and multiple pairs of distinct time-varying delays,we are interested in finding the infuence of the distinct time-vary...; 关键词：Nicholson's blowflies system global attractivity positive equilibrium point patch structure distinct time-varying delays

Global asymptotical stability in a rational difference equation: 《Applied Mathematics(A Journal of Chinese Universities)》2021年第1期51-59,共9页LI Xian-yi LI Wei; the National Natural Science Foundation of China(61473340);the Distinguished Professor Foundation of Qianjiang Scholar in Zhejiang Province;the National Natural Science Foundation of Zhejiang Province(LQ13A010019);the National Natural Science Foundation of Zhejiang University of Science and Technology(F701108G14).; In this paper we prove a global attractivity result for the unique positive equilibrium point of a difference equation,which improves and generalizes some known ones in the existing literature.Especially,our results c...; 关键词：global asymptotic stability global attractivity Open problem and conjecture Schwartzian derivative rational difference equation

Global Dynamics of a Stochastic Two-Prey One-Predator Model with <i>S</i>-Type Distributed Delays and Lévy Noises: 《Journal of Applied Mathematics and Physics》2020年第9期1959-1989,共31页Taolin Zhang Yuanfu Shao Xiaowan She; In this paper, a stochastic two-prey one-predator model with S-type distributed time delays and Lévy noises is considered. Using the comparison theorem and Ito’s formula, sufficient conditions of persistenc...; 关键词：Distributed Delays Lévy Noises Global Attractivity Stability in Distribution

DYNAMIC BEHAVIORS OF MAY TYPE COOPERATIVE SYSTEM WITH MICHAELIS-MENTEN TYPE HARVESTING被引量：3: 《Annals of Applied Mathematics》2019年第4期374-391,共18页Xiangqin Yu Fengde Chen Liyun Lai; supported by the National Natural Science Foundation of China under Grant(11601085);the Natural Science Foundation of Fujian Province(2019J01783); Traditional May type cooperative model incorporating Michaelis-Menten type harvesting is proposed and studied in this paper. Sufficient conditions which ensure the extinction of the first species and the existence of ...; 关键词：global attractivity May type cooperative system Michaelis-Menten type harvesting iterative method

Global attractivity of asymptotically almost periodic Nicholson＇s blowflies models with a nonlinear density-dependent mortality term: 《International Journal of Biomathematics》2018年第6期77-91,共15页Yi Tang Shenglan Xie; This paper focuses on the study of a class of asymptotically almost periodic Nicholson＇s blowflies models with a nonlinear density-dependent mortality term. By virtue of differ-ential inequality techniques, a set of ...; 关键词：Nicholson＇s blowflies model nonlinear density-dependent mortality asymp-totically almost periodic solution convergence.

Global attractivity of the predator-prey system for cotton aphid and seven-spot ladybird beetle with stage structure被引量：3: 《International Journal of Biomathematics》2018年第1期279-300,共22页Lifei Zheng Guixin Hu Huiyan Zhao M. K. D.K. Piyaratne Aying Wan; This research was supported by Startup Project of Doctor Scientific Research of Northwest A＆F University （No. Z109021414）, National Higher-Education Insti- tution General Research and Development Project （No. 2014YB023）, National Natural Science Foundation of China （No. 11461024）, the Foundation of Henan Educational Committee （No. 13B110031） and the Fundamental Research Funds for the Universities of Henan Province （No. NSFRF140139）.; It is well known that the cotton aphid is the major pest in cotton fields of Northwest China, and seven-spot ladybird is an important natural enemy among the various possi- ble natural enemies of cotton aphid. In orde...; 关键词：Stage structure cotton aphid seven-spot ladybird beetle stability equilibria.

Delay effect in the Lasota-Wazewska model with multiple time-varying delays: 《International Journal of Biomathematics》2018年第1期301-311,共11页Songlin Xiao; In this paper, the effect of delay on the asymptotic behavior of a Lasota-Wazewska model with multiple time-varying delays is investigated. By employing the fluctuation lemma and some differential inequality technique...; 关键词：Lasota Wazewska model global attractivity multiple time-varying delay.

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

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