Results 51 to 60 of about 1,608 (149)
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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Open Mathematics, 2020 In this paper, the blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients are investigated under Neumann boundary conditions.
Tian Huimin, Zhang Lingling
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, 2012 The paper deals with reaction-diffusion equations involving a hysteretic discontinuity in the source term, which is defined at each spatial point. Such problems describe biological processes and chemical reactions in which diffusive and nondiffusive ...
Gurevich, Pavel, Tikhomirov, Sergey
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Analysis of a diffusive host-pathogen model with standard incidence and distinct dispersal rates
Advances in Nonlinear Analysis, 2020 This paper concerns with detailed analysis of a reaction-diffusion host-pathogen model with space-dependent parameters in a bounded domain. By considering the fact the mobility of host individuals playing a crucial role in disease transmission, we ...
Wang Jinliang, Cui Renhao
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Demonstratio MathematicaThe shrinking of support in non-linear parabolic pp-Laplacian equations with a positive initial condition u0{u}_{0} that decayed as ∣x∣→∞| x| \to \infty was explored in the Cauchy problem.
Jeli Roqia Abdullah
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Global-in-time behavior of the solution to a Gierer-Meinhardt system [PDF]
, 2012 Gierer-Meinhardt system is a mathematical model to describe biological pattern formation due to activator and inhibitor. Turing pattern is expected in the presence of local self-enhancement and long-range inhibition.
Karali, Georgia D +2 more
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Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system
, 2017 It is well-known that the Neumann initial-boundary value problem for the minimal-chemotaxis-logistic system in a 2D bounded smooth domain has no blow-up for any choice of parameters. Here, for a large class of kinetic terms including sub-logistic sources,
Xiang, Tian
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Front instability in a condensed phase combustion model
Advances in Nonlinear Analysis, 2015 We consider a condensed phase (or solid) combustion model and its linearization around the travelling front solution. We construct an Evans function to characterize the eigenvalues of the linearized problem.
Bonnet Alexis +2 more
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Traveling Wave Solutions of a Reaction-Diffusion Equation with State-Dependent Delay [PDF]
, 2014 This paper is concerned with the traveling wave solutions of a reaction-diffusion equation with state-dependent delay. When the birth function is monotone, the existence and nonexistence of monotone traveling wave solutions are established.
Lin, Guo, Wang, Haiyan
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Open Mathematics, 2018 The main purpose of this paper is to study the initial layer problem and the infinite Prandtl number limit of Rayleigh-Bénard convection with an ill prepared initial data.
Fan Xiaoting +3 more
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