Travelling wave solutions of the reaction-diffusion mathematical model of glioblastoma growth: An Abel equation based approach by Tiberiu Harko, Man Kwong Mak

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Stability in Mean of Partial Variables for Coupled Stochastic Reaction-Diffusion Systems on Networks: A Graph Approach by Yonggui Kao, Hamid Reza Karimi

“…This paper is devoted to investigating stability in mean of partial variables for coupled stochastic reaction-diffusion systems on networks (CSRDSNs). By transforming the integral of the trajectory with respect to spatial variables as the solution of the stochastic ordinary differential equations (SODE) and using Itô formula, we establish some novel stability principles for uniform stability in mean, asymptotic stability in mean, uniformly asymptotic stability in mean, and exponential stability in mean of partial variables for CSRDSNs. …”
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Parameter-Uniform Numerical Scheme for Singularly Perturbed Delay Parabolic Reaction Diffusion Equations with Integral Boundary Condition by Wakjira Tolassa Gobena, Gemechis File Duressa

“…Numerical computation for the class of singularly perturbed delay parabolic reaction diffusion equations with integral boundary condition has been considered. …”
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On Global Attractors for a Class of Reaction-Diffusion Equations on Unbounded Domains with Some Strongly Nonlinear Weighted Term by Jin Zhang, Chengkui Zhong

“…We consider the existence and properties of the global attractor for a class of reaction-diffusion equation ∂u/∂t-Δu-u+κ(x)|u|p-2u+f(u)=0,  in  Rn×R+;  u(x,0)=u0(x),  in  Rn. …”
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Third-Order Approximate Solution of Chemical Reaction-Diffusion Brusselator System Using Optimal Homotopy Asymptotic Method by Salem Alkhalaf

“…Since mathematical modeling of certain chemical reaction-diffusion experiments leads to Brusselator equations, it is worth demanding a new technique to solve such a system. …”
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Reaction-Diffusion on a Spatial Mathematical Model of Cancer Immunotherapy with Effector Cells and IL-2 Compounds’ Interactions by Sulasri Suddin, Fajar Adi-Kusumo, Lina Aryati, Gunardi

“…We provide an analytical study for the constant equilibria of the reaction-diffusion system describing the above interactions, which show the initial behaviour of the tissue, and we conduct numerical simulation that shows the dynamics along the tissue that represent the immunotherapy effects. …”
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Finite-Time Robust Stability of Uncertain Genetic Regulatory Networks with Time-Varying Delays and Reaction-Diffusion Terms by Wenqin Wang, Yali Dong, Shouming Zhong, Feng Liu

“…This study seeks to address the finite-time robust stability of delayed genetic regulatory networks (GRNs) with uncertain parameters and reaction-diffusion terms. We employ an appropriate Lyapunov-Krasovskii functional to derive some less conservative stability criteria for GRNs under Dirichlet boundary conditions, which are delay-dependent, delay-derivative-dependent, and reaction-diffusion-dependent. …”
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Stability Switches and Hopf Bifurcation Induced by Nutrient Recycling Delay in a Reaction-Diffusion Nutrient-Phytoplankton Model by Kejun Zhuang, Ying Li, Bin Gong

“…In this paper, we study a reaction-diffusion nutrient-phytoplankton model with nutrient recycling delay and toxin-producing phytoplankton. …”
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Modeling of an array of amperometric microbiosensors by Feliksas Ivanauskas, Romas Baronas, Juozas Kulys, Mifodijus Sapagovas

Subjects: “…reaction-diffusion…”
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Piecewise second kind Chebyshev functions for a class of piecewise fractional nonlinear reaction–diffusion equations with variable coefficients by M.H. Heydari, D. Baleanu, M. Bayramu

“…A new version of nonlinear reaction–diffusion equations with variable coefficients is defined using this type of PFD. …”
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Analytical Solution of Nonlinear Dynamics of a Self-Igniting Reaction-Diffusion System Using Modified Adomian Decomposition Method by Felicia Shirly Peace, Narmatha Sathiyaseelan, Lakshmanan Rajendran

“…A mathematical model of the dynamics of the self-ignition of a reaction-diffusion system is studied in this paper. An approximate analytical method (modified Adomian decomposition method) is used to solve nonlinear differential equations under steady-state condition. …”
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Stability Analysis of Impulsive Stochastic Reaction-Diffusion Cellular Neural Network with Distributed Delay via Fixed Point Theory by Ruofeng Rao, Shouming Zhong

“…This paper investigates the stochastically exponential stability of reaction-diffusion impulsive stochastic cellular neural networks (CNN). …”
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Distributed Event-Triggered Output Synchronization of Complex-Valued Memristive Reaction-Diffusion Complex Networks with Spatial Sampled-Data by Tiane Chen, Zaihe Cheng

“…First, by using the separate method, set value mapping, and intermediate value theorem, the complex-valued memristive reaction-diffusion complex networks can be transferred into two semi-uncertain real-valued reaction-diffusion complex networks. …”
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Computer simulation of the steady state currents at enzyme doped carbon paste electrodes by Feliksas Ivanauskas, Valdas Laurinavičius, Remigijus Šimkus, Irmantas Kaunietis

Subjects: “…reaction-diffusion…”
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Modeling of the kinetics of vitamin D$_3$ in osteoblastic cells by Robert P. Gilbert, Philippe Guyenne, Ying Liu

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Modelling biosensors with perforated membrane by Romas Baronas, Feliksas Ivanauskas, Juozas Kulys

Subjects: “…reaction-diffusion…”
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Calcium waves with mechano-chemical couplings by Bogdan Kazmierczak, Zbigniew Peradzynski

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Turing instabilities and pattern formation in a benthic nutrient-microorganism system by Martin Baurmann, Wolfgang Ebenhöh, Ulrike Feudel

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Evolution of dispersal and the ideal free distribution by Robert Stephen Cantrell, Chris Cosner, Yuan Lou

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Hybrid discrete-continuous model of invasive bladder cancer by Eugene Kashdan, Svetlana Bunimovich-Mendrazitsky

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