云南高校图书馆联盟文献共享服务平台- PREDATOR-PREY

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A Diffusive Predator-Prey Model with Spatially Heterogeneous Carrying Capacity: 《Journal of Partial Differential Equations》2023年第4期435-453,共19页CHEN Jiawei WANG Biao; supported by the National Science Foundation of China(No.11801436).; We study local dynamics of a diffusive predator-prey model in a spatially heterogeneous environment,where intrinsic growth rate of the prey is spatially ho-mogeneous,whereas carrying capacity of the habitat is spatial...; 关键词：Predator-prey model carrying capacity spatial heterogeneity STABILITY

Dynamic Analysis of a Predator-Prey Model with Holling-II Functional Response: 《Journal of Applied Mathematics and Physics》2023年第10期2871-2878,共8页Jiemin Mo Wanying Li Donghuan He Songbo Wang Xiaoliang Zhou; A predator-prey model with linear capture term Holling-II functional response was studied by using differential equation theory. The existence and the stabilities of non-negative equilibrium points of the model were d...; 关键词：Predator-Prey Model Holling-II Functional Response Equilibrium Point STABILITY

Stability and Turing Patterns of a Predator-prey Model with Holling Type Ⅱ Functional Response and Allee Effect in Predator被引量：2: 《Acta Mathematicae Applicatae Sinica》2023年第3期675-695,共21页Lu CHEN Feng YANG Yong-li SONG; the National Natural Science Foundation of China (No.11971143;12071105);Zhejiang Provincial Natural Science Foundation of China (No.LZ23A010001)。; In this paper, we are concerned with a predator-prey model with Holling type Ⅱ functional response and Allee effect in predator. We first mathematically explore how the Allee effect affects the existence and stabilit...; 关键词：predator-prey model Allee effect DIFFUSION STABILITY Turing bifurcation

Under the influence of crowding effects:Stability,bifurcation and chaos control for a discrete-time predator-prey model被引量：1: 《International Journal of Biomathematics》2019年第4期185-213,共29页Muhammad Aqib Abbasi Qamar Din; The interaction between predators and preys exhibits more complicated behavior under the influence of crowding effects. By taking into account the crowding effects, the qualitative behavior of a prey-predator model is...; 关键词：PREY-PREDATOR model STABILITY analysis boundedness flip bifurcation HOPFBIFURCATION chaos CONTROL

Modeling and analysis of a predator-prey model with state-dependent delay被引量：1: 《International Journal of Biomathematics》2018年第2期241-262,共22页Yunfei Lv Yongzhen Pei Rong Yuan; We propose and study a predator prey model with state-dependent delay where the prey population is assumed to have an age structure. The state-dependent delay appears due to the mature condition that the prey must spe...; 关键词：Mature condition state-dependent delay predator-prey model BOUNDEDNESS STABILITY persistence.

GLOBAL DYNAMICS OF A PREDATOR-PREY MODEL WITH PREY REFUGE AND DISEASE: 《Annals of Applied Mathematics》2018年第1期80-93,共14页Zaowang Xiao Zhong Li; supported by the Natural Science Foundation of Fujian Province(2015J05006);the foundation of Education Department of Fujian Province(JAT160063); In this paper, we study a predator-prey model with prey refuge and disease. We study the local asymptotic stability of the equilibriums of the system. Further, we show that the equilibria are globally asymptotically s...; 关键词：predator-prey model prey refuge DISEASE STABILITY

Harvest control for a delayed stage-structured diffusive predator-prey model: 《International Journal of Biomathematics》2017年第1期45-76,共32页Xuebing Zhang Hongyong Zhao; In this paper, we have considered a delayed stage-structured diffusive prey-predator model, in which predator is assumed to undergo exploitation. By using the theory of partial functional differential equations, the l...; 关键词：STABILITY Hopf bifurcation delay.

Existence of spatiotemporal patterns in the reaction-diffusion predator-prey model incorporating prey refuge被引量：3: 《International Journal of Biomathematics》2016年第6期87-111,共25页Lakshmi Narayan Guin Benukar Mondal Santabrata Chakravarty; The pattern formation in reaction-diffusion system has long been the subject of interest to the researchers in the domain of mathematical ecology because of its universal exis- tence and importance. The present invest...; 关键词：Beddington DeAngelis functional response prey refuge STABILITY reaction-diffusion predator-prey model spatiotemporal pattern.

Globally asymptotic stability of a predator-prey model with stage structure incorporating prey refuge被引量：2: 《International Journal of Biomathematics》2016年第4期155-168,共14页Fengying Wei QiuyueFu; This paper focuses on the stabilities of the equilibria to a predator-prey model with stage structure incorporating prey refuge. By analyzing the characteristic functions, we obtain that the equilibria of the model ar...; 关键词：Predator-prey model STABILITY stage structure equilibrium.

Stability of a delayed predator prey model in a random environment被引量：1: 《Chinese Physics B》2015年第11期140-145,共6页靳艳飞谢文贤; supported by the National Natural Science Foundation of China(Grant Nos.11272051 and 11302172); The stability of the first-order and second-order solution moments for a Harrison-type predator-prey model with parametric Gaussian white noise is analyzed in this paper. The moment equations of the system solution ar...; 关键词：delay-independent stability predator-prey model moment equations environmental noise

PREDATOR-PREY_MODEL