Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
Boundary Value Problems, 2011 This paper deals with the critical parameter equations for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence parameter equation.
Xu Si, Song Zifen
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The impact factors of the risk index and diffusive dynamics of a SIS free boundary model [PDF]
Infectious Disease Modelling, 2022 To discuss the impact factors on the spread of infectious diseases, we study a free boundary problem describing a SIS (susceptible-infected-susceptible) model in a heterogeneous environment.
Yachun Tong, Inkyung Ahn, Zhigui Lin
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Qualitative analysis of a reaction-diffusion SIRS epidemic model with nonlinear incidence rate and partial immunity [PDF]
Infectious Disease Modelling, 2023 In this paper, a reaction-diffusion SIRS epidemic model with nonlinear incidence rate and partial immunity in a spatially heterogeneous environment is proposed. The well-posedness of the solution is firstly established. Then the basic reproduction number
Jianpeng Wang +2 more
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Computation of solution to fractional order partial reaction diffusion equations [PDF]
Journal of Advanced Research, 2020 In this article, the considered problem of Cauchy reaction diffusion equation of fractional order is solved by using integral transform of Laplace coupled with decomposition technique due to Adomian scheme.
Haji Gul +4 more
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The evolution of resource distribution, slow diffusion, and dispersal strategies in heterogeneous populations [PDF]
Frontiers in Applied Mathematics and Statistics, 2023 Population diffusion in river-ocean ecologies and for wild animals, including birds, mainly depends on the availability of resources and habitats. This study explores the dynamics of the resource-based competition model for two interacting species in ...
Ishrat Zahan +4 more
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Analysis of a diffusive two-strain malaria model with the carrying capacity of the environment for mosquitoes [PDF]
Infectious Disease ModellingWe propose a malaria model involving the sensitive and resistant strains, which is described by reaction-diffusion equations. The model reflects the scenario that the vector and host populations disperse with distinct diffusion rates, susceptible ...
Jinliang Wang, Wenjing Wu, Yuming Chen
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On the existence of positive solutions of a class of parabolic reaction diffusion systems [PDF]
, 2022 In this paper, we show the existence of continuous positive solutions of a class of nonlinear parabolic reaction diffusion systems with initial conditions using techniques of functional analysis and potential analysis. Mathematics Subject Classification (
REDJOUH, Mounir, MESBAHI, Salim
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Global solution for a diffusive epidemic model (HIV/AIDS) with an exponential behavior of source [PDF]
, 2023 We consider the question of global existence and uniform boundedness of nonnegative solutions of a system of reaction-diffusion equations with exponential nonlinearity, without any restriction on initial data, using maximum principle and Lyapunov ...
DADDIOUAISSA, El Hachemi
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Electronic Journal of Differential Equations, 2002 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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Generalized result on the global existence of positive solutions for a parabolic reaction diffusion model with a full diffusion matrix [PDF]
, 2023 In this paper, we study the global existence in time of solutions for a parabolic reaction diffusion model with a full matrix of diffusion coefficients on a bounded domain. The technique used is based on compact semigroup methods and some estimates.
Nabila Barrouk +3 more
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