Results 91 to 100 of about 4,320 (200)
Journal of Biological DynamicsThe fear preoften leads to changes in the physiological characteristics of the prey. Different stages of prey exhibit different physiological behaviours, such as susceptibility to predator risk, which often leads to Allee effect.
Weili Kong, Yuanfu Shao
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Difference equations as models of evolutionary population dynamics
Journal of Biological Dynamics, 2019 We describe the evolutionary game theoretic methodology for extending a difference equation population dynamic model in a way so as to account for the Darwinian evolution of model coefficients.
J. M. Cushing
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A Multiparameter Singular Perturbation Analysis of the Robertson Model
Studies in Applied Mathematics, Volume 154, Issue 2, February 2025.ABSTRACT The Robertson model describing a chemical reaction involving three reactants is one of the classical examples of stiffness in ODEs. The stiffness is caused by the occurrence of three reaction rates k1,k2,${k}_{1},{k}_{2},$ and k3,${k}_{3},$ with largely differing orders of magnitude, acting as parameters.
Lukas Baumgartner, Peter Szmolyan
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Bifurcations and chaos in a novel discrete economic system
Advances in Mechanical Engineering, 2019 In this article, a novel discrete system based on an economic model is introduced. Conditions for local stability of the model’s fixed points are obtained. Existence of supercritical Neimark–Sacker bifurcation is shown around the game’s Nash equilibrium.
A Al-khedhairi, AE Matouk, SS Askar
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Non-autonomous bifurcation in impulsive systems
Electronic Journal of Qualitative Theory of Differential Equations, 2013 This is the first paper which considers non-autonomous bifurcations in impulsive differential equations. Impulsive generalizations of the non-autonomous pitchfork and transcritical bifurcation are discussed. We consider scalar differential equation with
Marat Akhmet, Ardak Kashkynbayev
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2194-2223, 30 January 2025.The impact of predator‐driven fear on ecosystems is significant and can encompass both trophic (direct) and nontrophic (indirect) effects. Previous studies have shown that nontrophic fear effects have an important role in predator–prey dynamics. This study investigates the nontrophic fear effect on prey caused by generalist predators and explores ...
Anuj Kumar Umrao +2 more
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Reducing or enhancing chaos using periodic orbits
, 2006 A method to reduce or enhance chaos in Hamiltonian flows with two degrees of freedom is discussed. This method is based on finding a suitable perturbation of the system such that the stability of a set of periodic orbits changes (local bifurcations ...
C. Chandre +4 more
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Stability switching at transcritical bifurcations of solitary waves in generalized nonlinear Schrödinger equations [PDF]
Physics Letters A, 2013 Linear stability of solitary waves near transcritical bifurcations is analyzed for the generalized nonlinear Schroedinger equations with arbitrary forms of nonlinearity and external potentials in arbitrary spatial dimensions. Bifurcation of linear-stability eigenvalues associated with this transcritical bifurcation is analytically calculated.
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Interplay between media and social influence in the collective behavior of opinion dynamics
, 2015 Messages conveyed by media act as a major drive in shaping attitudes and inducing opinion shift. On the other hand, individuals are strongly affected by peer pressure while forming their own judgment.
Castellano, Claudio, Colaiori, Francesca
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From continuous to discontinuous transitions in social diffusion
, 2018 Models of social diffusion reflect processes of how new products, ideas or behaviors are adopted in a population. These models typically lead to a continuous or a discontinuous phase transition of the number of adopters as a function of a control ...
Eguíluz, Víctor M. +2 more
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