Results 21 to 30 of about 909 (172)
Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate
Complexity, 2020 An SIS propagation model with the nonlinear rewiring rate on an adaptive network is considered. It is found by bifurcation analysis that the model has the complex behaviors which include the transcritical bifurcation, saddle-node bifurcation, Hopf ...
Ding Fang, Yongxin Zhang, Wendi Wang
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上海师范大学学报. 自然科学版, 2020 In this paper, an amensalism model with Crowley-Martin type functional response is proposed. The existence and stability of all possible equilibria of the system are investigated.
WEI Zhen, GAN Shengjin
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Modeling and Analyzing the Influence of Fear on the Harvested Modified Leslie-Gower Model
مجلة بغداد للعلوم, 2023 A modified Leslie-Gower predator-prey model with a Beddington-DeAngelis functional response is proposed and studied. The purpose is to examine the effects of fear and quadratic fixed effort harvesting on the system's dynamic behavior.
Abdul Rahman Mahmoud Jamil +1 more
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Dynamic analysis and control of a rice-pest system under transcritical bifurcations [PDF]
PeerJ, 2021 A decision model is developed by adopting two control techniques, combining cultural methods and pesticides in a hybrid approach. To control the adverse effects in the long term and to be able to evaluate the extensive use of pesticides on the environment and nearby ecosystems, the novel decision model assumes the use of pesticides only in an emergency
Sajib Mandal +3 more
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Finite-time nonautonomous bifurcation in impulsive systems
Electronic Journal of Qualitative Theory of Differential Equations, 2016 The purpose of this article is to investigate nonautonomous bifurcation in impulsive differential equations. The impulsive finite-time analogues of transcritical and pitchfork bifurcation are provided.
Marat Akhmet, Ardak Kashkynbayev
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Mathematics, 2022 Recently, bistable viral infection systems have attracted increased attention. In this paper, we study bistability and robustness for virus infection models with nonmonotonic immune responses in viral infection systems. The results show that the existing
Tengfei Wang, Shaoli Wang, Fei Xu
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Transcritical and zero-Hopf bifurcations in the Genesio system [PDF]
Nonlinear Dynamics, 2016 In this paper we study the existence of transcritical and zero--Hopf bifurcations of the third--order ordinary differential equation a b c x - x^2 = 0, called the Genesio equation, which has a unique quadratic nonlinear term and three real parameters.
Pedro Toniol Cardin, Jaume Llibre
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Bifurcations of Orbit and Inclination Flips Heteroclinic Loop with Nonhyperbolic Equilibria
The Scientific World Journal, 2014 The bifurcations of heteroclinic loop with one nonhyperbolic equilibrium and one hyperbolic saddle are considered, where the nonhyperbolic equilibrium is supposed to undergo a transcritical bifurcation; moreover, the heteroclinic loop has an orbit flip ...
Fengjie Geng, Junfang Zhao
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Imperfect transcritical and pitchfork bifurcations
Journal of Functional Analysis, 2007 Let \(X\) and \(Y\) be Banach spaces, \(F: \mathbb{R} \times X \to Y\) a nonlinear differentiable map. The authors study the bifurcations of solutions for the equation \[ F(\lambda, u) = 0 \] in a neighborhood of a point \((\lambda_0, u_0)\) under the following assumptions: (F1) \(\dim N\left(F_u\left(\lambda_0,u_0\right)\right) = \text{codim}\,R \left(
Liu, Ping, Shi, Junping, Wang, Yuwen
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Discretizing the transcritical and pitchfork bifurcations – conjugacy results [PDF]
Journal of Difference Equations and Applications, 2015 We present two case studies in one-dimensional dynamics concerning the discretization of transcritical (TC) and pitchfork (PF) bifurcations. In the vicinity of a TC or PF bifurcation point and under some natural assumptions on the one-step discretization method of order $p\ge 1$, we show that the time-$h$ exact and the step-size-$h$ discretized ...
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