A Weak Comparison Principle for Reaction-Diffusion Systems by José Valero

“…We prove a weak comparison principle for a reaction-diffusion system without uniqueness of solutions. We apply the abstract results to the Lotka-Volterra system with diffusion, a generalized logistic equation, and to a model of fractional-order chemical autocatalysis with decay. …”
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Numerical Method to Modify the Fractional-Order Diffusion Equation by Yunkun Chen

“…Time or space or time-space fractional-order diffusion equations (FODEs) are widely used to describe anomalous diffusion processes in many physical and biological systems. …”
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Stationary Patterns of a Cross-Diffusion Epidemic Model by Yongli Cai, Dongxuan Chi, Wenbin Liu, Weiming Wang

“…We investigate the complex dynamics of cross-diffusion SI epidemic model. We first give the conditions of the local and global stability of the nonnegative constant steady states, which indicates that the basic reproduction number determines whether there is an endemic outbreak or not. …”
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THE ROLE OF LIBRARIANS IN HEALTH INFORMATION DIFFUSION IN THE DIGITAL AGE by Olubanke M Bankole, Isaac O Busayo

“…The paper therefore provides an overview of the role that libraries could play to promote diffusion of information for quality health care in Nigeria drawing from examples of such practices in developed countries. …”
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The Bass Diffusion Model on Finite Barabasi-Albert Networks by M. L. Bertotti, G. Modanese

“…Using a heterogeneous mean-field network formulation of the Bass innovation diffusion model and recent exact results on the degree correlations of Barabasi-Albert networks, we compute the times of the diffusion peak and compare them with those on scale-free networks which have the same scale-free exponent but different assortativity properties. …”
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Diffusion and usage patterns of Internet services in the European Union by José Manuel Ortega Egea, Manuel Recio Menéndez, María Victoria Román González

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Surgery for Bacterial Endocarditis Complicated by Diffuse Alveolar Hemorrhage by Kazuhiro Kurisu, Hiroshi Mitsuo, Yasutaka Ueno

“…Diffuse alveolar hemorrhage is a very rare but potentially lethal condition resulting from various disorders. …”
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Modelling the Diffusion of Investment Decisions on Modular Social Networks by Xiaokang Cheng, Narisa Zhao

“…In this paper, we study the impact of the community structure of investor social networks on the diffusion of internet investment products. A two-stage diffusion model is proposed, and the clustering coefficient and modularity of an investor social network are considered. …”
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Transiente diffusion equation: an alternative finite difference approach by Marcelo Franco de Oliveira

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Global Stability for Fractional Diffusion Equations in Biological Systems by Khalid Hattaf, Noura Yousfi

“…Furthermore, the method is applied to establish the global stability of some fractional biological models with and without diffusion.…”
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Blow-Up Solution of Modified-Logistic-Diffusion Equation by P. Sitompul, Y. Soeharyadi

“…Modified-Logistic-Diffusion Equation ut=Duxx+u|1-u| with Neumann boundary condition has a global solution, if the given initial condition ψ satisfies ψ(x)≤1, for all x∈[0,1]. …”
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On a diffusive predator-prey model with nonlinear harvesting by Peng Feng

“…In this paper, we study the dynamics of a diffusive Leslie-Gower model with a nonlinear harvesting term on the prey. …”
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Diffusion models for super-resolution microscopy: a tutorial by Harshith Bachimanchi, Giovanni Volpe

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Numerical Solution of Oxygen Diffusion Problem in Spherical Cell by Soumaya Belabbes, Abdellatif Boureghda

Subjects: “…oxygen diffusion…”
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Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators by N. Apreutesei, V. Volpert

“…The paper is devoted to integro-differential operators, which correspond to nonlocal reaction-diffusion equations considered on the whole axis. Their Fredholm property and properness will be proved. …”
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P-Fuzzy Diffusion Equation Using Rules Base by Jefferson Leite, R. C. Bassanezi, Jackellyne Leite, Moiseis Cecconello

“…We emphasize that the classical diffusion equation along with its analytical solution in no time was used for obtaining our solution.…”
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'Traveling wave'' solutions of Fitzhugh model with cross-diffusion by F. Berezovskaya, Erika Camacho, Stephen Wirkus, Georgy Karev

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A Social Diffusion Model with an Application on Election Simulation by Jing-Kai Lou, Fu-Min Wang, Chin-Hua Tsai, San-Chuan Hung, Perng-Hwa Kung, Shou-De Lin, Kuan-Ta Chen, Chin-Laung Lei

“…Issues about opinion diffusion have been studied for decades. It has so far no empirical approach to model the interflow and formation of crowd’s opinion in elections due to two reasons. …”
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Comparison of Two Diffusers in a Transonic Centrifugal Compressor by Nakagawa K., Hayami H., Keimi Y.

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Existence of Solutions for a Quasilinear Reaction Diffusion System by Canrong Tian

“…The degenerate reaction diffusion system has been applied to a variety of physical and engineering problems. …”
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