Results 31 to 40 of about 249 (171)
Asymptotic stability of an epidemiological fractional reaction-diffusion model
Demonstratio Mathematica, 2023 The aim of this article is to study the known susceptible-infectious (SI) epidemic model using fractional order reaction-diffusion fractional partial differential equations [FPDEs] in order to better describe the dynamics of a reaction-diffusion SI with ...
Djebara Lamia +2 more
doaj +1 more source
Attractors of multivalued semiflows generated by differential inclusions and their approximations
Abstract and Applied Analysis, Volume 5, Issue 1, Page 33-46, 2000., 2000 We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions. Applications are given to a model of regional economic growth.
Alexei V. Kapustian, José Valero
wiley +1 more source
Reaction diffusion equations and quadratic convergence
International Journal of Stochastic Analysis, Volume 10, Issue 2, Page 179-186, 1997., 1996 In this paper, the method of generalized quasilinearization has been extended to reaction diffusion equations. The extension includes earlier known results as special cases. The earlier results developed are when (i) the right‐hand side function is the sum of a convex and concave function, and (ii) the right‐hand function can be made convex by adding a
A. S. Vatsala +2 more
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Edge of Chaos in Reaction-Diffusion CNN Models [PDF]
, 2018 In this paper different reaction-diffusion Cellular Nonlinear Networks (RDCNN) models will be presented. Dynamics of Oregonator RD-CNN model will be studied.
Slavova, Angela, Bobeva, Galina
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On a comparison theorem for parabolic equations with nonlinear boundary conditions
Advances in Nonlinear Analysis, 2022 In this article, a new type of comparison theorem for some second-order nonlinear parabolic systems with nonlinear boundary conditions is given, which can cover classical linear boundary conditions, such as the homogeneous Dirichlet or Neumann boundary ...
Kita Kosuke, Ôtani Mitsuharu
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Flow invariance for perturbed nonlinear evolution equations
Abstract and Applied Analysis, Volume 1, Issue 4, Page 417-433, 1996., 2000 Let X be a real Banach space, J = [0, a] ⊂ R, A : D(A) ⊂ X → 2X\ϕ an m‐accretive operator and f : J × X → X continuous. In this paper we obtain necessary and sufficient conditions for weak positive invariance (also called viability) of closed sets K ⊂ X for the evolution system u′ + Au∍f(t, u) on J = [0, a].
Dieter Bothe
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Quantitative estimates of the threshold phenomena for propagation in reaction-diffusion equations [PDF]
, 2019 We focus on the (sharp) threshold phenomena arising in some reaction-diffusion equations supplemented with some compactly supported initial data. In the so-called ignition and bistable cases, we prove the first sharp quantitative estimate on the (sharp ...
Alfaro, Matthieu +2 more
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Dynamics of PEM with Nano-Inhomogeneities via Cellular Nanoscale Networks [PDF]
, 2019 In this paper we study the dynamics of piezoelectrical material (PEM) with nano-inhomogeneities. The boundary value model defined by the system of two partial differential equations and the boundary conditions for the generalized stress is mapped into ...
Slavova, Angela, Bobeva, Galina
core +1 more source
Explicit solutions of Fisher′s equation with three zeros
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 617-620, 1990., 1990 Explicit traveling wave solutions of Fisher′s equation with three simple zeros ut = uxx + u(1 − u)(u − a), a ∈ (0, 1), are obtained for the wave speeds suggested by pure analytic considerations. Two types of solutions are obtained: one type is of a permanent wave form whereas the other is not.
M. F. K. Abur-Robb
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On the existence of the solution of Burgers′ equation for n ≤ 4
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 4, Page 645-650, 1990., 1990 In this paper a proof of the existence of the solution of Burgers′ equation for n ≤ 4 is presented. The technique used is shown to be valid for equations with more general types of nonlinearities than is present in Burgers′ equation.
Adel N. Boules
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