Results 1 to 10 of about 1,687 (152)
Global phase portraits of a predator–prey system
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We classify the global dynamics of a family of Kolmogorov systems depending on three parameters which has ecological meaning as it modelizes a predator–prey system.
Érika Diz-Pita +2 more
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Global phase portraits of a SIS model [PDF]
Applied Mathematics and Computation, 2013 In the qualitative theory of ordinary differential equations, we can find many papers whose objective is the classification of all the possible topological phase portraits of a given family of differential system. Most of the studies rely on systems with real parameters and the study consists of outlining their phase portraits by finding out some ...
Alex Rezende +1 more
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Classification of Global Phase Portraits of a System of Liénard Type
Journal of Mathematical Analysis and Applications, 1995 This paper concerns a classification of global phase portraits generated by a Liénard differential equation, the two functions of which satisfy conditions called ``deformed mirror symmetry'' for the phase trajectories. These conditions lead to non-dissipative trajectories, for which the authors define separatrices limiting regions of the phase plane ...
Sugie, J., Hara, T.
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Global phase portraits of quintic reversible uniform isochronous centers
Electronic Journal of Qualitative Theory of Differential EquationsThis paper studies the global phase portraits of uniform isochronous quintic centers at the origin with time reversibility such that their nonlinear part is not homogeneous.
Lina Guo, Aiyong Chen
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Discrete and Continuous Dynamical Systems - Series B, 2016 We classify the global phase portraits in the Poincar\'e disc of the differential systems =-y xf(x,y), =x yf(x,y), where f(x,y) is a homogeneous polynomial of degree 3. These systems have a uniform isochronous center at the origin. This paper together with the results presented in IL2 completes the classification of the global phase portraits in the ...
Jackson Itikawa, Jaume Llibre
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Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data [PDF]
Quantitative BiologyIn this study, a fractional‐order SEIuITR model was proposed to examine the transmission of tuberculosis (TB) in the community. The proposed model was rigorously examined for well‐posedness. The basic reproduction number was also derived, and the disease‐
Kumama Regassa Cheneke +2 more
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Electronic Journal of Differential Equations, 2015 In this article we study a class of integrable quadratic systems and classify all its phase portraits. More precisely, we characterize the class of all quadratic polynomial differential systems in the plane having an ellipse and a straight line as ...
Jaume Llibre, Jiang Yu
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Global‐phase portrait and large‐degree asymptotics for the Kissing polynomials [PDF]
Studies in Applied Mathematics, 2021 AbstractWe study a family of monic orthogonal polynomials that are orthogonal with respect to the varying, complex‐valued weight function, , over the interval , where is arbitrary. This family of polynomials originally appeared in the literature when the parameter was purely imaginary, that is, , due to its connection with complex Gaussian quadrature ...
Barhoumi, A, Celsus, AF, Deaño, A
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Electronic Journal of Differential Equations, 2018 In this article we consider a class of quadratic polynomial differential systems in the plane having a hyperbola and a straight line as invariant algebraic curves, and we classify all its phase portraits.
Jaume Llibre, Jiang Yu
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Phase portraits on the unit sphere of the stretch-twist-fold flow
Nonlinear Analysis, 2023 The so-called stretch-twist-fold flow consists in a Stokes flow depending on two parameters defined in a unit closed ball B that is associated with the motion of a fluid particle coming from the dynamo theory, and it models a mechanism for studying the ...
Jaume Llibre, Claudia Valls
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