Results 1 to 10 of about 1,614 (256)
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 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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Mathematical modeling of the effect of early detection in breast cancer treatment [PDF]
Frontiers in OncologyIntroductionEarly detection is a cornerstone of cancer control, yet its quantitative influence on tumor–immune interactions remains underexplored in mathematical oncology.MethodsWe formulated a nonlinear tumor–immune interaction model consisting of two ...
Farouk Tijjani Saad +4 more
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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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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 ...
Oliveira, Regilene, Rezende, Alex C.
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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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Global Phase Portrait and Local Integrability of Holomorphic Systems
Qualitative Theory of Dynamical Systems, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gouveia, Luiz F. S. +2 more
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A class of nonlinear oscillators with non-autonomous first integrals and algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this paper, we present a class of autonomous nonlinear oscillators with non-autonomous first integral. We prove explicitly the existence of a global sink which is, under some conditions, an algebraic limit cycle.
Meryem Belattar +3 more
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GLOBAL PHASE PORTRAITS OF SOME REVERSIBLE CUBIC CENTERS WITH NONCOLLINEAR SINGULARITIES [PDF]
International Journal of Bifurcation and Chaos, 2013 The results in this paper show that the cubic vector fields ẋ = -y + M(x, y) - y(x2+ y2), ẏ = x + N(x, y) + x( x2+ y2), where M, N are quadratic homogeneous polynomials, having simultaneously a center at the origin and at infinity, have at least 61 and at most 68 topologically different phase portraits.
Caubergh, Magdalena, Torregrosa, Joan
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Global Portraits of Nonminimal Teleparallel Inflation
Universe, 2021 We construct global phase portraits of inflationary dynamics in teleparallel gravity models with a scalar field nonminimally coupled to torsion scalar.
Laur Järv, Joosep Lember
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