Diffusion-driven self-assembly of emerin nanodomains at the nuclear envelope by Carlos D. Alas, Liying Wu, Fabien Pinaud, Christoph A. Haselwandter

“…Through a combination of theory and experiment, we show here that a simple reaction-diffusion model explains the self-assembly of emerin nanodomains. …”
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Pattern Formation in a Cross-Diffusive Ratio-Dependent Predator-Prey Model by Xinze Lian, Yanhong Yue, Hailing Wang

“…Furthermore, we present novel numerical evidence of time evolution of patterns controlled by self- and cross-diffusion in the model and find that the model dynamics exhibits a cross-diffusion controlled formation growth to spots, stripes, and spiral wave pattern replication, which show that reaction-diffusion model is useful to reveal the spatial predation dynamics in the real world.…”
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Preface by Peter Hinow, Pierre Magal, Shigui Ruan

“…Webb.The topics of the 12 articles appearing in this special issue includeevolutionary dynamics of population growth, spatio-temporal dynamicsin reaction-diffusion biological models, transmission dynamics ofinfectious diseases, modeling of antibiotic-resistant bacteria in hospitals,analysis of Prion models, age-structured models in ecology and epidemiology,modeling of immune response to infections, modeling of cancer growth, etc.These topics partially represent the broad areas of Glenn's research interest.For more information please click the “Full Text” above.…”
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Threshold dynamics of a time periodic and two–group epidemic model with distributed delay by Lin Zhao, Zhi-Cheng Wang, Liang Zhang

“…In this paper, a time periodic and two–group reaction–diffusion epidemic model with distributed delay is proposed and investigated. …”
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Modeling of chemo-radiotherapy targeting growing vascular tumors: A continuum-level approach. by Ioannis Lampropoulos, Marina Koutsi, Michail E Kavousanakis

“…Our model integrates the impact of chemical species on tumor dynamics, and we model -through reaction-diffusion equations- the spatio-temporal evolution of oxygen, vascular endothelial growth factor (VEGF) and chemotherapeutic agents. …”
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Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil by Côme Goudjo, Babacar Lèye, Mamadou Sy

“…We prove global existence (in time) and uniqueness of weak and positive solution for this reaction-diffusion semilinear system in a bounded domain, completed with homogeneous Neumann boundary conditions and positive initial conditions.…”
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Stability in a Simple Food Chain System with Michaelis-Menten Functional Response and Nonlocal Delays by Wenzhen Gan, Canrong Tian, Qunying Zhang, Zhigui Lin

“…This paper is concerned with the asymptotical behavior of solutions to the reaction-diffusion system under homogeneous Neumann boundary condition. …”
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Competitive exclusion and coexistence in a two-strain pathogen model with diffusion by Azmy S. Ackleh, Keng Deng, Yixiang Wu

“…We consider a two-strain pathogen model described by a system of reaction-diffusion equations. We define a basic reproduction number $R_0$ and show that when the model parameters are constant (spatially homogeneous), if $R_0 >1$ then one strain will outcompete the other strain and drive it to extinction, but if $R_0 \le 1$ then the disease-free equilibrium is globally attractive. …”
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An Efficient Hybrid Numerical Scheme for Nonlinear Multiterm Caputo Time and Riesz Space Fractional-Order Diffusion Equations with Delay by A. K. Omran, M. A. Zaky, A. S. Hendy, V. G. Pimenov

“…In this paper, we construct and analyze a linearized finite difference/Galerkin–Legendre spectral scheme for the nonlinear multiterm Caputo time fractional-order reaction-diffusion equation with time delay and Riesz space fractional derivatives. …”
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Nonlinear Analysis in a Nutrient-Algae-Zooplankton System with Sinking of Algae by Chuanjun Dai, Min Zhao

“…A reaction-diffusion-advection model is proposed for the Zeya Reservoir to study interactions between algae and zooplankton, including the diffusive spread of algae and zooplankton and the sinking of algae. …”
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Analytic Approximation of Solutions of Parabolic Partial Differential Equations with Variable Coefficients by Vladislav V. Kravchenko, Josafath A. Otero, Sergii M. Torba

“…A complete family of solutions for the one-dimensional reaction-diffusion equation, uxx(x,t)-q(x)u(x,t)=ut(x,t), with a coefficient q depending on x is constructed. …”
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The risk index for an SIR epidemic model and spatial spreading of the infectious disease by Min Zhu, Xiaofei Guo, Zhigui Lin

“…In this paper, a reaction-diffusion-advection SIR model for the transmission of the infectious disease is proposed and analyzed. …”
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Spatial Complexity of a Predator-Prey Model with Holling-Type Response by Lei Zhang, Zhibin Li

“…Our results show that modeling by reaction-diffusion equations is an appropriate tool for investigating fundamental mechanisms of complex spatiotemporal dynamics.…”
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Controllability and Observability of Nonautonomous Riesz-Spectral Systems by Sutrima Sutrima, Christiana Rini Indrati, Lina Aryati

“…There are many industrial and biological reaction diffusion systems which involve the time-varying features where certain parameters of the system change during the process. …”
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Finite Time Synchronization of Extended Nonlinear Dynamical Systems Using Local Coupling by A. Acosta, P. García, H. Leiva, A. Merlitti

“…We consider two reaction-diffusion equations connected by one-directional coupling function and study the synchronization problem in the case where the coupling function affects the driven system in some specific regions. …”
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The Diffusive Model for West Nile Virus on a Periodically Evolving Domain by Abdelrazig K. Tarboush, Zhengdi Zhang

“…In this paper, we investigate the impact of a periodically evolving domain on the dynamics of the diffusive West Nile virus. A reaction-diffusion model on a periodically and isotropically evolving domain which describes the transmission of the West Nile virus is proposed. …”
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Global stability of the steady states of an epidemic model incorporating intervention strategies by Yongli Cai, Yun Kang, Weiming Wang

“…In this paper, we investigate the global stability of the steady states of a general reaction-diffusion epidemiological model with infection force under intervention strategies in a spatially heterogeneous environment. …”
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Second-Order Semi-Discretized Schemes for Solving Stochastic Quenching Models on Arbitrary Spatial Grids by Nina Garcia-Montoya, Julienne Kabre, Jorge E. Macías-Díaz, Qin Sheng

“…Reaction-diffusion-advection equations provide precise interpretations for many important phenomena in complex interactions between natural and artificial systems. …”
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Diffusively-Coupled Rock-Paper-Scissors Game with Mutation in Scale-Free Hierarchical Networks by Takashi Nagatani, Genki Ichinose

“…The dynamics are represented by the reaction-diffusion equations with the recursion formula. …”
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The role of order and disorder in thermal and material sciences part 2: Scientific world and new insights by Šesták Jaroslav

“…Alternative theory of reaction-diffusion model of the space-time is put in contrast with big bang hypothesis and related to the herewith-discussed specialty of self-catalyzed chemical reactions. …”
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