Most publications on reaction-diffusion systems of $m$ components ($mgeq 2$) impose $m$ inequalities to the reaction terms, to prove existence of global solutions (see Martin and Pierre [10 ] and Hollis [4]).
Said Kouachi
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We study the global well-posedness and uniform boundedness of a two-dimensional reaction–advection–diffusion system with nonlinear advection. This strongly coupled system of nonlinear partial differential equations represents the continuum of a 2D ...
Wenjing Jiang, Qi Wang
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Analysis on a Diffusive SI Epidemic Model with Logistic Source and Saturation Infection Mechanism. [PDF]
Dong L, Li B, Zhang G.
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Spatial dynamics of a viral infection model with immune response and nonlinear incidence. [PDF]
Zheng T, Luo Y, Teng Z.
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Dynamics of a reaction-diffusion SIRS model with general incidence rate in a heterogeneous environment. [PDF]
Avila-Vales E, Pérez ÁGC.
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Control Strategies for a Multi-strain Epidemic Model. [PDF]
Lou Y, Salako RB.
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Spatio-temporal solutions of a diffusive directed dynamics model with harvesting. [PDF]
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]
Zhu CC, Zhu J.
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Generalizations and error analysis of the iterative operator splitting method
Ladics Tamás, Faragó István
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conditions for Turing and wave instabilities in reaction-diffusion systems. [PDF]
Villar-Sepúlveda E, Champneys AR.
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