This paper develops a bifurcation and stability analysis for reaction-diffusion-advection systems incorporating three mathematically challenging features: directed movement along environmental gradients, nonlocal time-delayed competition, and nonlinear ...
Chenyuan Tian, Shangjiang Guo
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Analysis on a Diffusive SI Epidemic Model with Logistic Source and Saturation Infection Mechanism. [PDF]
Bull Malays Math Sci Soc, 2022 Dong L, Li B, Zhang G.
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Blow-up for an evolution
, 2011 This paper investigates the blow-up properties of positive solutions to the following system of evolution p-Laplace equations with nonlocal sources and inner absorptions { u t − div ( | ∇ u | p − 2 ∇ u ) =
Zheng Pan +3 more
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Dynamics of a reaction-diffusion SIRS model with general incidence rate in a heterogeneous environment. [PDF]
Z Angew Math Phys, 2022 Avila-Vales E, Pérez ÁGC.
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A Gradient Random Walk Method For Two-Dimensional Reaction-Diffusion Equations
, 1992 . We present an extension to two space dimensions of the gradient random walk algorithm for reaction-diffusion equations. This family of algorithms is related closely to the random vortex method of computational fluid dynamics. Although the computational
Arthur Sherman, Michael Mascagni
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Spatial dynamics of a viral infection model with immune response and nonlinear incidence. [PDF]
Z Angew Math Phys, 2023 Zheng T, Luo Y, Teng Z.
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Spatio-temporal solutions of a diffusive directed dynamics model with harvesting. [PDF]
J Appl Math Comput, 2023 Kamrujjaman M +4 more
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Dynamic analysis of a delayed COVID-19 epidemic with home quarantine in temporal-spatial heterogeneous via global exponential attractor method. [PDF]
Chaos Solitons Fractals, 2021 Zhu CC, Zhu J.
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Generalizations and error analysis of the iterative operator splitting method
Open Mathematics, 2013 Ladics Tamás, Faragó István
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Boundary Layers in a Semilinear Parabolic Problem
, 2007 We study a singular perturbation problem for a certain type of reaction diffusion equation with a space-dependent reaction term. We compare the effect that the presence of boundary layers versus internal layers has on the existence and stability of ...
Domingo Salazar, Jack K. Hale
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