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PERMANENCE: 作品数：145被引量：143H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：孙永红韩新焕穆晓霞何朝晖黄安更多>>; 相关机构：南京师范大学解放军体育学院中国建筑玻璃与工业玻璃协会石河子大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金福建省自然科学基金湖北省自然科学基金河南省自然科学基金更多>>

Global Dynamics of a Kawasaki Disease Vascular Endothelial Cell Injury Model with Backward Bifurcation and Hopf Bifurcation: 《Acta Mathematicae Applicatae Sinica》2025年第1期200-233,共34页Ke GUO Wan-biao MA; supported by the National Natural Science Foundation of China(12201038);the Project funded by China Postdoctoral Science Foundation(2022TQ0026);the Fundamental Research Funds for the Central Universities(FRF-TP-22-102A1);the Beijing Natural Science Foundation(1202019).; Kawasaki disease(KD)is an acute,febrile,systemic vasculitis that mainly affects children under five years of age.In this paper,we propose and study a class of 5-dimensional ordinary differential equation model describ...; 关键词：Kawasaki disease model backward bifurcation Hopf bifurcation global stability PERMANENCE

The gas discharge visualization(GDV)order parameter model based on the principle of mastering both permanence and change: 《Digital Chinese Medicine》2024年第3期231-240,共10页XIN Yu ZHANG Lei ZHAO Qiancheng SHE Yurong SHE Zhensu SONG Shuna; Program of Office of Science and Technology Development,Peking University(3124-2021|-L-w6).; Objective To investigate the human body’s complex system,and classify and characterize the human body’s health states with“a comprehensive integrated method from qualitative to quantitative”.Methods This paper int...; 关键词：Gas discharge visualization(GDV) Traditional Chinese medicine(TCM) Order parameters Math-physical model Individualized health assessment

The behavior of a host-parasitoid model with host logistic growth and proportional refuge: 《International Journal of Biomathematics》2024年第5期33-78,共46页Senada Kalabusic Esmir Pilav; This paper deals with the host-parasitoid model,where the logistic equation governs the host population growth,and a proportion of the host population can find refuge.The equilibrium points'existence,number,and local ...; 关键词：Difference equations host-parasitoid Neimark-Sacker bifurcation perioddoubling bifurcation PERMANENCE stability

Dynamics of a predator-prey system with sublethal effects of pesticides on pests and natural enemies被引量：1: 《International Journal of Biomathematics》2024年第1期151-175,共25页Xiangjun Dai Jianjun Jiao Qi Quan Airen Zhou; supported by the National Natural Science Foundation of China(No.12261018);Youth Science and Technology Talent Growth Project of Guizhou Provincial Department of Education(KY[2018]341,KY[2018]157).; Considering the influence of sublethal concentration of pesticides on pests and natural enemies,we propose a pest-management model with impulsive effect on chemical control and biological control strategies periodic s...; 关键词：Predator-prey system sublethal effect global asymptotic stability PERMANENCE

Dynamical Analysis of Nonautonomous Trophic Cascade Chemostat Model with Regime Switching and Nonlinear Perturbations in a Polluted Environment: 《Acta Mathematicae Applicatae Sinica》2023年第3期550-570,共21页Ya-jie LI Hao-kun QI Zheng-bo CHANG Xin-zhu MENG; the National Natural Science Foundation of China (No.12271308);the Research Fund for the Taishan Scholar Project of Shandong Province of China;Shandong Provincial Natural Science Foundation of China (ZR2019MA003)。; This paper investigates the stochastic dynamics of trophic cascade chemostat model perturbed by regime switching, Gaussian white noise and impulsive toxicant input. For the system with only white noise interference, s...; 关键词：stochastic trophic cascade chemostat model Markov chain extinction and stochastic permanence periodic solution ERGODICITY

Dynamical analysis for the sustained harvesting of microorganisms using flocculants in a random environment: 《Chinese Physics B》2023年第5期343-349,共7页刘蓉马万彪; the National Natural Science Foundation of China (Grant No. 11971055);the Beijing Natural Science Foundation, China (Grant No. 1202019)。; The use of flocculants to collect/extract microorganisms is of great practical significance for the development of the application of microorganisms. In this paper, a high-dimensional nonlinear stochastic differential...; 关键词：stochastic process stochastically ultimately bounded stochastic permanence noise-induced transitions

Analysis of an Eco-Epidemiological Model Considering Effect of Harvesting and Prey Refuge: 《Applied Mathematics》2022年第9期733-744,共12页Aihua Kang; In this work, we analyze an eco-epidemiological model with the disease in the prey, considering a constant proportion of harvesting of either species or a prey refuge. The positive invariant set, the conditions of exi...; 关键词：REFUGE HARVESTING Eco-Epidemiological Model PERMANENCE

Survival analysis of an impulsive stochastic facultative mutualism system with saturation effect被引量：2: 《International Journal of Biomathematics》2021年第2期169-187,共19页Siyu Chen Zhijun Liu Ronghua Tan Lianwen Wang; A system of impulsive stochastic differential equations is proposed as a two-species facultative mutualism model subject to impulsive and two coupling noise source perturbations,in which the saturation effect is taken...; 关键词：Facultative mutualism model coupling white noises IMPULSES EXTINCTION PERMANENCE

Stochastic epidemic dynamics based on the association between susceptible and recovered individuals: 《International Journal of Biomathematics》2021年第1期31-50,共20页Luyao Xin Yingxin Guo Quanxin Zhu; This work was supported financially by the Natural Science Foundation of Shandong Province under Grant No.ZR2017MA045.; In this paper,we propose a new mathematical model based on the association between susceptible and recovered individual.Then,we study the stability of this model with the deterministic case and obtain the conditions f...; 关键词：EXTINCTION permanence in mean STABILITY stochastic epidemic model

A generalized stochastic competitive system with Ornstein-Uhlenbeck process被引量：3: 《International Journal of Biomathematics》2021年第1期105-123,共19页Baodan Tian Liu Yang Xingzhi Chen Yong Zhang; This work is supported by the Sichuan Science and Technology Program under Grant 2017JY0336 and Hunan Science and Technology Program under Grant 2019JJ50399;National College Students,Innovation and Entrepreneurship Training Program under Grant S202010619021;Longshan Talent Research Fund of Southwest University of Science and Technology under Grants 17LZX670 and 18LZX622.; A generalized competitive system with stochastic perturbations is proposed in this paper,in which the stochastic disturbances are described by the famous Ornstein–Uhlenbeck process.By theories of stochastic different...; 关键词：Competitive system stochastic perturbations EXTINCTION stochastic permanence normal distribution

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