Results 1 to 10 of about 154 (130)
Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.We investigate the nonlocal‐to‐local limit of aggregation–diffusion equations with finite‐range interactions. The drift is generated by an odd, short‐range vector kernel acting on a nonlinear density response. On the flat torus, the rescaled operator is written as a difference quotient and shown to be uniformly bounded from H1 to L2.
S. C. Oukouomi Noutchie, Jaume Giné
wiley +3 more sources
Boundary spike‐layer solutions of the singular Keller–Segel system: existence and stability
Proceedings of the London Mathematical Society, Volume 122, Issue 1, Page 42-68, January 2021., 2021 Abstract We explore the existence and nonlinear stability of boundary spike‐layer solutions of the Keller–Segel system with logarithmic singular sensitivity in the half space, where the physical zero‐flux and Dirichlet boundary conditions are prescribed.
Jose A. Carrillo +2 more
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Hybrid Modelling in Oncology: Sucesses, Challenges and Hopes [PDF]
, 2019 International audienceIn this review we make the statement that hybrid models in oncology are required as a mean for enhanced data integration. In the context of systems oncology, experimental and clinical data need to be at the heart of the models ...
Powathil, Gibin +5 more
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CNN Modeling of a Class of Integro-Differential Equations [PDF]
, 2019 [Slavova Angela; Славова Анжела]; [Zafirova Zoya; Зафирова Зоя]In this paper we study a class of integro-differential equations. First we present Cellular Nonlinear Networks (CNN) modeling of integro-differential equations.
Slavova, Angela +2 more
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.Malaria is one of the most prevalent diseases spread by mosquitoes in tropical and subtropical areas. In this study, we present an age‐structured mathematical model for the within‐host dynamics of Plasmodium falciparum malaria, employing a dual age‐structured partial differential equation (PDE) incorporating chronological age, a for uninfected red ...
Adugna Gadisa Geleta +3 more
wiley +1 more source
On the Resolution of Some Itô Diffusions by the Heat Equation
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.We consider a class of partial differential equations that arise from one‐dimensional generalized square root problems, featuring drift and diffusion. In particular, we investigate models whereby a diffusion coefficient is described by a power law.
Sameerah Jamal, Elena Kaikina
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.We derive quantitative convergence rates for nonlocal‐to‐local limits in a class of multispecies interaction systems with finite‐range kernels. The nonlocal model consists of coupled aggregation–diffusion equations in which intra‐ and interspecies interactions are mediated by short‐range convolution operators.
S. C. Oukouomi Noutchie, John Venetis
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Fundamental Transformations to Inhomogeneous Parabolic PDEs
Journal of Mathematics, Volume 2025, Issue 1, 2025.The present paper is devoted to inhomogeneous (1 + 1) parabolic equations. In particular, we find a mapping which transforms the equations into a target equation. We prove a necessary condition which allows for the inhomogeneity to vanish. Consequently, we provide a concise presentation on a method of integrability of these equations.
Sameerah Jamal, Guotao Wang
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The Impact of Imperfect Vaccination on Infectious Disease Transmission in an Age-Structured Population [PDF]
In this paper, we consider the influence of imperfect vaccination on the spread of infectious diseases in an age-structured population. The benefits of vaccination, even if not perfect, generally outweigh the risks of severe diseases.
Touaoula, Tarik Mohammed +1 more
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, 2020 In this study we aim to develop a Maxima [1] package for analytical solution of linear system ofone dimensional transport equations of the formU_t + A_Ux = B_Uxx + CU + D (1)where U = (u,v) is the vector of unknowns, A, B and C ...
Yaprak, Rıdvan, Coşkun, Erhan
core