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Reaction-Diffusion Problems
In this chapter, we start by investigating the adsorption-desorptionAdsorption-desorption (process, phenomenon, boundary conditions, etc.) Boundary...
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Spatiotemporal Evolution of Coinfection Dynamics: A Reaction–Diffusion Model
This paper investigates the impact of spatial heterogeneity on the interaction between similar strains in a dynamical system of coinfecting strains...
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A hyperbolic reaction–diffusion model of chronic wasting disease
A hyperbolic reaction–diffusion model is developed in the framework of Extended Thermodynamics in order to describe the spatio-temporal dynamics of...
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Global Asymptotic Stability for Discrete-Time SEI Reaction-Diffusion Model
The global stability of solutions for a discrete-time globally dispersed reaction-diffusion SEI epidemic model with individual immigration is...
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Multiplicative Control Problem for a Nonlinear Reaction–Diffusion Model
AbstractThe paper studies a multiplicative control problem for the reaction–diffusion equation in which the reaction coefficient nonlinearly depends...
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A Reaction-Diffusion Model with Spatially Inhomogeneous Delays
Motivated by population growth in a heterogeneous environment, this manuscript builds a reaction-diffusion model with spatially dependent parameters....
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Phytoplankton-chytrid-zooplankton dynamics via a reaction–diffusion–advection mycoloop model
Mycoloop is an important aquatic food web composed of phytoplankton, chytrids (one dominant group of parasites in aquatic ecosystems), and...
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An SIS reaction–diffusion model with spatial/behavioral heterogeneity
In this paper, we proposed a susceptible-infected-susceptible (SIS) reaction–diffusion model with spatial and behavioral heterogeneity. We...
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Edge of Chaos in Reaction-Diffusion System with Memristor Synapses
In this paper principles of local activity theory will be presented for studying complex behavior of reaction-diffusion systems. For...
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Existence of spiky stationary solutions to a mass-conserved reaction-diffusion model
Cells realize various life activities such as migrations and the ingestion of extracellular substances by deforming their cytoplasm and cell...
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Travelling waves for a fast reaction limit of a discrete coagulation–fragmentation model with diffusion and proliferation
We study traveling wave solutions for a reaction–diffusion model, introduced in the article Calvez et al. (Regime switching on the propagation speed...
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An advection–diffusion–reaction model for coffee percolation
Advection–diffusion–reaction equations are largely exploited in applied science, for their ability to describe real-life phenomena where mass...
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Global dynamics of a Nonlocal Periodic Reaction–Diffusion Model of Chikungunya Disease
This paper is devoted to the study of a nonlocal reaction–diffusion model of Chikungunya disease with periodic time delays. We establish two...
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Turing Patterns in a Predator–Prey Reaction–Diffusion Model with Seasonality and Fear Effect
In this paper, we study a predator–prey reaction–diffusion model with seasonality and fear effect. In this model, the predator species reproduces...
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Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections
In this paper, we study a time-delayed nonlocal reaction-diffusion model of within-host viral infections. We introduce the basic reproduction number
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A spectrally accurate time–space pseudospectral method for reaction–diffusion Malaria infection model
Malaria is a possibly dangerous infection brought about by a parasite. This infection is more normal in nations with heat and humidities. Because of...
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A unified analysis for reaction–diffusion models with application to the spiral waves dynamics of the Barkley model
Applying the gradient discretisation method (GDM), the paper develops a comprehensive numerical analysis for nonlinear equations called the...
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Reaction-diffusion equations on metric graphs with edge noise
We investigate stochastic reaction-diffusion equations on finite metric graphs. On each edge in the graph a multiplicative cylindrical Gaussian noise...
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Threshold dynamics of a reaction–advection–diffusion schistosomiasis epidemic model with seasonality and spatial heterogeneity
Most water-borne disease models ignore the advection of water flows in order to simplify the mathematical analysis and numerical computation....
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Image Restoration Using a Coupled Reaction-Diffusion Equations
This work addresses In the present paper, we propose a a novel denoising model based on nonlinear-reaction-diffusion system. This model is driven by...