Learning Interactions in Reaction Diffusion Equations by Neural Networks by Sichen Chen, Nicolas J-B. Brunel, Xin Yang, Xinping Cui

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Robustness with respect to exponents for nonautonomous reaction–diffusion equations by Rodrigo Samprogna, Jacson Simsen

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Global Existence for Reaction-Diffusion Systems on Multiple Domains by William E. Fitzgibbon, Jeff Morgan, John Ryan

Subjects: “…reaction-diffusion systems…”
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On Global Existence of the Fractional Reaction-Diffusion System’s Solution by Iqbal M. Batiha, Nabila Barrouk, Adel Ouannas, Waseem G. Alshanti

“…The purpose of this paper is to prove the global existence of solution for one of most significant fractional partial differential system called the fractional reaction-diffusion system. This will be carried out by combining the compact semigroup methods with some L1-estimate methods. …”
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The diffusion identification in a SIS reaction-diffusion system by Aníbal Coronel, Fernando Huancas, Ian Hess, Alex Tello

“…This article is concerned with the determination of the diffusion matrix in the reaction-diffusion mathematical model arising from the spread of an epidemic. …”
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State Feedback Regulation Problem to the Reaction-Diffusion Equation by Francisco Jurado, Andrés A. Ramírez

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Nonlocal Reaction–Diffusion Models of Heterogeneous Wealth Distribution by Malay Banerjee, Sergei V. Petrovskii, Vitaly Volpert

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Convolution Representation of Traveling Pulses in Reaction-Diffusion Systems by Satoshi Kawaguchi

“…In this study, we consider the convolution representation of traveling pulses in reaction-diffusion systems. Under the adiabatic approximation of inhibitor, a two-component reaction-diffusion system is reduced to a one-component reaction-diffusion equation with a convolution term. …”
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The Robin problems for the coupled system of reaction–diffusion equations by Po-Chun Huang, Bo-Yu Pan

“…Abstract This article investigates the local well-posedness of Turing-type reaction–diffusion equations with Robin boundary conditions in the Sobolev space. …”
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Asymptotic stability of an epidemiological fractional reaction-diffusion model by Djebara Lamia, Abdelmalek Salem, Bendoukha Samir

“…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 a nonlinear incidence rate describing the infection dynamics of the HIV/AIDS virus. …”
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Suicide substrate reaction-diffusion equations: varying the source by Burke, M, Maini, P, Murray, J

Simple computation of reaction-diffusion processes on point clouds. by Macdonald, C, Merriman, B, Ruuth, S

“…The study of reaction-diffusion processes is much more complicated on general curved surfaces than on standard Cartesian coordinate spaces. …”

Concentration-dependent domain evolution in reaction–diffusion systems by Krause, AL, Gaffney, EA, Walker, BJ

“…Here, we study such concentration-dependent domain evolution for reaction–diffusion systems to elucidate fundamental aspects of these more complex models. …”

Multidimensional reaction diffusion equations with nonlinear boundary conditions by Lacey, A, Ockendon, J, Sabina, J

A probabilistic approach to fractional reaction-diffusion equations by Becker, K

LINEAR AND NONLINEAR FRONT SELECTION FOR REACTION-DIFFUSION EQUATIONS by Goriely, A, Rose, J

On the speed of propagation in Turing patterns for reaction-diffusion systems by Klika, V, Gaffney, E, Maini, P

Complex-order fractional diffusion in reaction-diffusion systems by Bueno-Orovio, A, Burrage, K

“…The proposed complex-order operators exhibit a dual particle-wave behaviour, with solutions manifesting wave-like features depending on the magnitude of the imaginary part of the fractional order. Reaction–diffusion systems driven by the complex-order fractional Laplacian exhibit unique spatio-temporal dynamics, such as equilibrium of diffusion in random materials by interference of scattered waves, conduction block and highly fractionated propagation, or the generation of completely novel Turing patterns. …”

Solving reaction-diffusion equations 10 times faster by Kassam, A

“…The most popular numerical method for solving systems of reaction-diffusion equations continues to be a low order finite-difference scheme coupled with low order Euler time stepping. …”

Suicide substrate reaction--diffusion equations: varying the source. by Burke, M, Maini, P, Murray, J