Results 21 to 30 of about 12,706 (203)
Dynamics of a Predator–Prey Model with the Additive Predation in Prey
Mathematics, 2022 In this paper, we consider a predator–prey model, in which the prey’s growth is affected by the additive predation of its potential predators. Due to the additive predation term in prey, the model may exhibit the cases of the strong Allee effect, weak ...
Dingyong Bai, Xiaoxuan Zhang
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Discrete Dynamics in Nature and Society, 2016 The Allee effect is incorporated into a predator-prey model with linear functional response. Compared with the predator-prey which only takes the crowding effect and predator partially dependent on prey into consideration, it is found that the Allee ...
Jie Yan +3 more
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Stability and bifurcation in a Holling type II predator–prey model with Allee effect and time delay
Advances in Difference Equations, 2018 In this paper, we consider a Holling type II predator–prey model incorporating time delay and Allee effect in prey. We discuss the influence of Allee effect on the logistic equation.
Zaowang Xiao, Xiangdong Xie, Yalong Xue
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Advances in Difference Equations, 2020 In this paper, we propose a single species logistic model with feedback control and additive Allee effect in the growth of species. The basic aim of the paper is to discuss how the additive Allee effect and feedback control influence the above model’s ...
Yangyang Lv, Lijuan Chen, Fengde Chen
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On the fractional Allee logistic equation in the Caputo sense
Examples and Counterexamples, 2023 In the framework of population models, logistic growth and fractional logistic growth has been analyzed. In some situations the so-called Allee effect gives more accurate approximation.
I. Area, Juan J. Nieto
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Asymmetrical Impact of Allee Effect on a Discrete-Time Predator-Prey System
Journal of Applied Mathematics, 2013 A discrete-time predator-prey model is proposed with Leslie-type numerical response, and the asymmetrical influence of Allee effect on the proposed system is investigated.
Wenting Wang, Yujuan Jiao, Xiuping Chen
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Modeling the Allee effect and fear effect in predator–prey system incorporating a prey refuge
Advances in Difference Equations, 2020 In this paper, we consider a predator–prey model with Allee effect, fear effect and prey refuge. By considering the prey refuge as a parameter, we give the threshold condition for the stability of the system, and prove that the system undergoes a ...
Ying Huang, Zhenliang Zhu, Zhong Li
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Dynamics Analysis of a Discrete-Time Commensalism Model with Additive Allee for the Host Species
Axioms, 2023 We propose and study a class of discrete-time commensalism systems with additive Allee effects on the host species. First, the single species with additive Allee effects is analyzed for existence and stability, then the existence of fixed points of ...
Yanbo Chong +3 more
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Advances in Difference Equations, 2018 A two-species commensal symbiosis model involving Allee effect and one party can not survive independently is proposed and studied in this paper. Sufficient conditions which ensure the local and global stability of the boundary equilibrium and the ...
Baoguo Chen
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The genetic Allee effect: a unified framework for the genetics and demography of small populations
Ecosphere, 2016 The Allee effect is a theoretical model predicting low growth rates and the possible extinction of small populations. Historically, studies of the Allee effect have focused on demography.
Gloria M. Luque +5 more
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