Mathematical Modeling of Population Dynamics of Pollinators: A Survey [PDF]
BiologyIn this paper, we develop a systematic review of the existing literature on the mathematical modeling of several aspects of pollinators. We selected the MathSciNet and Wos databases and performed a search for the words “pollinator” and “mathematical ...
Fernando Huancas +3 more
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Bifurcations in a Plant-Pollinator Model with Multiple Delays
Journal of Mathematics, 2023 The plant-pollinator model is a common model widely researched by scholars in population dynamics. In fact, its complex dynamical behaviors are universally and simply expressed as a class of delay differential-difference equations.
Long Li +3 more
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Modeling and Numerical Simulation of Semitensioned Mooring Line under Taut-Slack State
Shock and Vibration, 2023 In this paper, considering the mooring system can be taut-slack in the motion, the dynamic equations of the mooring system are derived by using the theory of large deformation.
Ruizhi Shi +3 more
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A Ratio-Dependent Nonlinear Predator-Prey Model With Certain Dynamical Results
IEEE Access, 2020 In order to see the dynamics of prey-predator interaction, differential or difference equations are frequently used for modeling of such interactions. In present manuscript, we explore some qualitative aspects of two-dimensional ratio-dependent predator ...
Asifa Tassaddiq +4 more
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Accurately model the Kuramoto--Sivashinsky dynamics with holistic discretisation [PDF]
, 2005 We analyse the nonlinear Kuramoto--Sivashinsky equation to develop accurate discretisations modeling its dynamics on coarse grids. The analysis is based upon centre manifold theory so we are assured that the discretisation accurately models the dynamics ...
A. J. Roberts +3 more
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Nonlinear Instability in Dissipative Finite Difference Schemes [PDF]
, 1989 A unified analysis of reaction-diffusion equations and their finite difference representations is presented. The parallel treatment of the two problems shows clearly when and why the finite difference approximations break down. The approach used provides
Stuart, Andrew
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Application of dynamical systems theory to the high angle of attack dynamics of the F-14 [PDF]
, 1990 Dynamical systems theory has been used to study the nonlinear dynamics of the F-14. An eight degree of freedom model that does not include the control system present in operational F-14's has been analyzed.
Culick, Fred E. C., Jahnke, Craig C.
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Dynamical Analysis of SIR Epidemic Model with Nonlinear Pulse Vaccination and Lifelong Immunity
Discrete Dynamics in Nature and Society, 2015 SIR epidemic model with nonlinear pulse vaccination and lifelong immunity is proposed. Due to the limited medical resources, vaccine immunization rate is considered as a nonlinear saturation function.
Wencai Zhao, Juan Li, Xinzhu Meng
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Entropy, 2019 This work presents a review of previous articles dealing with an original turbulence theory proposed by the author and provides new theoretical insights into some related issues.
Nicola de Divitiis
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On the Relationship between Equilibrium Bifurcations and Ideal MHD Instabilities for Line-Tied Coronal Loops [PDF]
, 2009 For axisymmetric models for coronal loops the relationship between the bifurcation points of magnetohydrodynamic (MHD) equilibrium sequences and the points of linear ideal MHD instability is investigated imposing line-tied boundary conditions.
Neukirch, Thomas, Romeou, Zaharenia
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