Results 41 to 50 of about 4,438 (207)
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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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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Effect of energetic electrons on transcritical bifurcation of low-frequency electrostatic waves in plasma [PDF]
مجله علوم و فنون هستهای, 2022 This paper studies the bifurcation types and phase portrait properties of ion-acoustic traveling waves in a plasma comprising warm adiabatic ions and energetic electrons with a nonthermal distribution function. A dynamical system is first derived for the
H. Alinejad
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Mathematical Biosciences and Engineering, 2023 Within the framework of physical and ecological integrated control of cyanobacteria bloom, because the outbreak of cyanobacteria bloom can form cyanobacteria clustering phenomenon, so a new aquatic ecological model with clustering behavior is proposed to
Qiulin Huang +5 more
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Ground-state Properties of Small-Size Nonlinear Dynamical Lattices [PDF]
, 2006 We investigate the ground state of a system of interacting particles in small nonlinear lattices with M > 2 sites, using as a prototypical example the discrete nonlinear Schroedinger equation that has been recently used extensively in the contexts of ...
A. Vezzani +6 more
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Dynamic analysis of a modified algae and fish model with aggregation and Allee effect
Mathematical Biosciences and Engineering, 2022 In the paper, under the stress of aggregation and reproduction mechanism of algae, we proposed a modified algae and fish model with aggregation and Allee effect, its main purpose was to further ascertain the dynamic relationship between algae and fish ...
Shengyu Huang +5 more
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Network Inoculation: Heteroclinics and phase transitions in an epidemic model [PDF]
, 2016 In epidemiological modelling, dynamics on networks, and in particular adaptive and heterogeneous networks have recently received much interest. Here we present a detailed analysis of a previously proposed model that combines heterogeneity in the ...
Anderson R. M. +7 more
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, 2004 A parametrized nonlinear differential equation can have multiple equilibria as the parameter is varied. A local bifurcation of a parametrized differential equation occurs at an equilibrium where there is a change in the topological character of the ...
Chang, Dong Eui +2 more
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Bifurcation and Chaotic Behavior of a Discrete-Time SIS Model
Discrete Dynamics in Nature and Society, 2013 The discrete-time epidemic model is investigated, which is obtained using the Euler method. It is verified that there exist some dynamical behaviors in this model, such as transcritical bifurcation, flip bifurcation, Hopf bifurcation, and chaos.
Junhong Li, Ning Cui
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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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