Results 71 to 80 of about 431 (175)
IEEE Access, 2020 Vegetation pattern is one of the most important self-organized patterns in ecological systems. The formation mechanism of vegetation patterns has been attributed to dynamic bifurcations, while from the external perspective, the regularity of patterns ...
Feifan Zhang +4 more
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Numerical detection of suppression of quasi‐periodic solutions
Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 3, October 2024.Abstract Dynamical systems can show so‐called quasi‐periodic solutions, which are composed of two or more so‐called incommensurable frequencies. Solving these systems in the time‐domain is not favorable, due to the fact that quasi‐periodic solutions have no finite periodicity, thus it is unclear how long simulations must be carried out in order to ...
Alexander Seifert, Hartmut Hetzler
wiley +1 more source
Global dynamics and bifurcation analysis of a host–parasitoid model with strong Allee effect
Journal of Biological Dynamics, 2017 In this paper, we study the global dynamics and bifurcations of a two-dimensional discrete time host–parasitoid model with strong Allee effect. The existence of fixed points and their stability are analysed in all allowed parametric region.
Abdul Qadeer Khan +2 more
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Analysis of the Stability and Chaotic Dynamics of an Ecological Model
Complexity, Volume 2024, Issue 1, 2024.Modelling has become an eminent tool in the study of ecological systems. Ecological modelling can help implement sustainable development, mathematical models, and system analysis that explain how ecological processes can promote the sustainable management of resources.
Muhammad Aqib Abbasi +6 more
wiley +1 more source
Stability and Bifurcations in a Discrete-Time Eco-Evolutionary Logistic Model
MathematicsIn this paper I study a two-dimensional discrete-time evolutionary logistic-type model describing the coupled dynamics of population density and a continuously evolving trait.
Rafael Luís
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Neimark-Sacker Bifurcation of a Third Order Difference Equation
Fundamental Journal of Mathematics and Applications, 2019 In this paper, we investigate the bifurcation of a third order rational difference equation. Firstly, we show that the equation undergoes a Neimark-Sacker bifurcation when the parameter reaches a critical value. Then, we consider the direction of the Neimark-Sacker bifurcation. Finally, we give some numerical simulations of our results.
Marwan ALOQEİLİ, Asmaa SHAREEF
openaire +3 more sources
Neimark-Sacker Bifurcation and Chaos Control in a Fractional-Order Plant-Herbivore Model
Discrete Dynamics in Nature and Society, 2017 This work is related to dynamics of a discrete-time 3-dimensional plant-herbivore model. We investigate existence and uniqueness of positive equilibrium and parametric conditions for local asymptotic stability of positive equilibrium point of this model.
Qamar Din, A. A. Elsadany, Hammad Khalil
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Flip and Neimark-Sacker Bifurcations of a Discrete Time Predator-Pre Model
IEEE Access, 2019 In this paper, we investigate the system undergoes flip and Neimark Sacker bifurcation in the interior of R+2 by using the center manifold theorem and bifurcation theory. The dynamics of this discrete time predator-pre model is investigated in the closed
Yong Li +4 more
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Stability and bifurcation analysis in a host–parasitoid model with Hassell growth function
Advances in Difference Equations, 2018 In this paper, a discrete-time host–parasitoid model with Hassell growth function for the host is considered. The sufficient conditions for the existence of the equilibrium points are obtained and a local stability analysis of the model is performed.
Figen Kangalgil, Senol Kartal
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Dynamics of a Discrete Internet Congestion Control Model
Discrete Dynamics in Nature and Society, 2011 We consider a discrete Internet model with a single link accessed by a single source, which responds to congestion signals from the network. Firstly, the stability of the equilibria of the system is investigated by analyzing the characteristic equation ...
Yingguo Li
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