Results 21 to 30 of about 100,221 (244)
Mathematical Biosciences and Engineering, 2017 We analyze a mathematical model of quorum sensing induced biofilm dispersal. It is formulated as a system of non-linear, density-dependent, diffusion-reaction equations.
Blessing O. Emerenini +2 more
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Complexity, 2020 In this research work, we focused on finding the numerical solution of time-fractional reaction-diffusion and another class of integro-differential equation known as the integro reaction-diffusion equation.
Sachin Kumar, Jinde Cao, Xiaodi Li
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Traveling wave solutions for a neutral reaction–diffusion equation with non-monotone reaction
Advances in Difference Equations, 2019 In the present paper, we firstly improve the results on traveling wave solution that were established in (Liu and Weng in J. Differ. Equ. 258:3688–3741, 2015) for a neutral reaction–diffusion equation with quasi-monotone reaction.
Yubin Liu
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this article we introduce rather general notion of the stationary solution of the bistable equation which allows to treat discontinuous density dependent diffusion term with singularities and degenerations, as well as degenerate or non-Lipschitz ...
Pavel Drábek, Michaela Zahradnikova
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State Feedback Regulation Problem to the Reaction-Diffusion Equation
Mathematics, 2020 In this work, we explore the state feedback regulator problem (SFRP) in order to achieve the goal for trajectory tracking with harmonic disturbance rejection to one-dimensional (1-D) reaction-diffusion (R-D) equation, namely, a partial differential ...
Francisco Jurado, Andrés A. Ramírez
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Kolmogorov Equation for a Stochastic Reaction–Diffusion Equation with Multiplicative Noise
MathematicsReaction–diffusion equations can model complex systems where randomness plays a role, capturing the interaction between diffusion processes and random fluctuations.
Kaiyuqi Guan, Yu Shi
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Solution of Higher Order Nonlinear Time-Fractional Reaction Diffusion Equation
Entropy, 2016 The approximate analytical solution of fractional order, nonlinear, reaction differential equations, namely the nonlinear diffusion equations, with a given initial condition, is obtained by using the homotopy analysis method. As a demonstration of a good
Neeraj Kumar Tripathi +4 more
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On a semilinear fractional reaction-diffusion equation with nonlocal conditions
Alexandria Engineering Journal, 2021 In the present paper, a nonlocal problem for semilinear fractional diffusion equations with Riemann-Liouville derivative is investigated. By applying Banach fixed point theorem combined with some techniques on Mittag-Leffler functions, we establish some ...
Tran Ngoc Thach +3 more
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A convergent reaction-diffusion master equation [PDF]
The Journal of Chemical Physics, 2013 The reaction-diffusion master equation (RDME) is a lattice stochastic reaction-diffusion model that has been used to study spatially distributed cellular processes. The RDME is often interpreted as an approximation to spatially continuous models in which molecules move by Brownian motion and react by one of several mechanisms when sufficiently close ...
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A nonlinear diffusion equation with reaction localized in the half-line
Mathematics in Engineering, 2022 We study the behaviour of the solutions to the quasilinear heat equation with a reaction restricted to a half-line $ u_t = (u^m)_{xx}+a(x) u^p, $ $ m, p > 0 $ and $ a(x) = 1 $ for $ x > 0 $, $ a(x) = 0 $ for $ x < 0 $.
Raúl Ferreira , Arturo de Pablo
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