Kinetics of quantum reaction-diffusion systems by Federico Gerbino, Igor Lesanovsky, Gabriele Perfetto

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Reaction diffusion systems for living on an isolated Island by Abdullah Aldurayhim, Badriah Alahmed, Amr Elsonbaty

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Optimal mixed control of networked reaction-diffusion systems by Xiaofeng Luo, Runzi He, Lifeng Hou, Shupeng Gao, Zhen Jin, Gui-Quan Sun, Lili Chang, Ludovico Minati, Stefano Boccaletti

“…We introduce a control scheme able to steer the evolution of networked reaction-diffusion systems toward any intended dynamics. Specifically, we consider simplicial complexes of reaction-diffusion systems that can be collapsed into weighted complex networks by leveraging the linear relationship between the Laplacian matrix of the simplicial complex and the Laplacian matrix of each order simplex. …”
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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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Turing Bifurcation and Pattern Formation of Stochastic Reaction-Diffusion System by Qianiqian Zheng, Zhijie Wang, Jianwei Shen, Hussain Muhammad Ather Iqbal

“…In comparison to the Reaction-Diffusion System (RDS), Stochastic Reaction-Diffusion System (SRDS) is more complex and it is very difficult to deal with the noise function. …”
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Effects of Anisotropy, Convection, and Relaxation on Nonlinear Reaction-Diffusion Systems by Juan I. Ramos

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A Crank-Nicolson Method of Autocatalytic Reaction-Diffusion Systems by Abbas Al-Bayati, Saad Manaa, Abdulghafor Al-Rozbayani

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On a class of nonlinear reaction-diffusion systems with nonlocal boundary conditions by Abdelfatah Bouziani

“…We prove the existence, uniqueness, and continuous dependence of a generalized solution of a nonlinear reaction-diffusion system with only integral terms in the boundaries. …”
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Efficient Numerical Schemes for a Heterogeneous Reaction–Diffusion System with Applications by Samima Akhter, Md. Ariful Islam Arif, Rubayyi T. Alqahtani, Samir Kumar Bhowmik

Subjects: “…heterogeneous reaction diffusion system…”
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Synchronization Control in Reaction-Diffusion Systems: Application to Lengyel-Epstein System by Adel Ouannas, Mouna Abdelli, Zaid Odibat, Xiong Wang, Viet-Thanh Pham, Giuseppe Grassi, Ahmed Alsaedi

“…In this paper, the problem of complete synchronization for reaction-diffusion systems is investigated. Linear and nonlinear synchronization control schemes have been proposed to exhibit synchronization between coupled reaction-diffusion systems. …”
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A reaction-diffusion system modeling the spread of resistance to an antimalarial drug by Nicolas Bacaër, Cheikh Sokhna

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Positional information trade-offs in boundary-driven reaction–diffusion systems by Jonas Berx, Prashant Singh, Karel Proesmans

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Comparison of Finite Difference Solution Methods for Reaction Diffusion System in Two Dimensions by Abbas Al-Bayati, Saad Manaa, Abdulghafor Al-Rozbayani

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Motion of a Spot in a Reaction Diffusion System under the Influence of Chemotaxis by Satoshi Kawaguchi

“…We propose a two-component reaction diffusion system with a global coupling term and a Keller-Segel type chemotaxis term. …”
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Global solutions of a strongly coupled reaction-diffusion system with different diffusion coefficients by L. W. Somathilake, J. M. J. J. Peiris

“…The existence of the global solution of this reaction-diffusion system in unbounded domain is proved by using semigroup theory and estimates on the growth of solutions.…”
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Blowup Properties for a Semilinear Reaction-Diffusion System with Nonlinear Nonlocal Boundary Conditions by Dengming Liu, Chunlai Mu

“…We investigate the blowup properties of the positive solutions for a semilinear reaction-diffusion system with nonlinear nonlocal boundary condition. …”
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Normal Forms of Hopf Bifurcation for a Reaction-Diffusion System Subject to Neumann Boundary Condition by Cun-Hua Zhang, Xiang-Ping Yan

“…A reaction-diffusion system coupled by two equations subject to homogeneous Neumann boundary condition on one-dimensional spatial domain (0,lπ) with l>0 is considered. …”
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Full Finite Element Scheme for Reaction-Diffusion Systems on Embedded Curved Surfaces in ℝ3 by D. Assaely León-Velasco, Guillermo Chacón-Acosta

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Geometric thermodynamics of reaction-diffusion systems: Thermodynamic trade-off relations and optimal transport for pattern formation by Ryuna Nagayama, Kohei Yoshimura, Artemy Kolchinsky, Sosuke Ito

“…Our results apply to general reaction-diffusion systems and contribute to understanding the relations between pattern formation and unavoidable dissipation.…”
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Fourier Stability Analysis of Two Finite Element Schemes for Reaction-Diffusion System with Fast Reversible Reaction by Ann Jalal, Mohammed Al-Amr

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