Zobrazeno 1 - 10
of 2 949
pro vyhledávání: '"35K57"'
Autor:
Choi, Wonhyung, Ahn, Inkyung
Understanding species dynamics in heterogeneous environments is essential for ecosystem studies. Traditional models assumed homogeneous habitats, but recent approaches include spatial and temporal variability, highlighting species migration. We adopt
Externí odkaz:
http://arxiv.org/abs/2410.18621
Autor:
Eisenhuth, Benedikt, Grothaus, Martin
We consider a degenerate infinite dimensional stochastic Hamiltonian system with multiplicative noise and establish the essential m-dissipativity on $L^2(\mu^{\Phi})$ of the corresponding Kolmogorov (backwards) operator. Here, $\Phi$ is the potential
Externí odkaz:
http://arxiv.org/abs/2410.15993
Convection-diffusion-reaction equations are a class of second-order partial differential equations widely used to model phenomena involving the change of concentration/population of one or more substances/species distributed in space. Understanding a
Externí odkaz:
http://arxiv.org/abs/2410.11669
A ternary reaction-diffusion model for early HIV infection dynamics, incorporating logistic growth of target cells, is introduced. According to in vitro and in vivo studies, random movement of target cells, infected cells, and virions and a chemotact
Externí odkaz:
http://arxiv.org/abs/2410.13889
This paper is concerned with the boundary-layer solutions of the singular Keller-Segel model proposed by Keller-Segel (1971) in a multi-dimensional domain, where the zero-flux boundary condition is imposed to the cell while inhomogeneous Dirichlet bo
Externí odkaz:
http://arxiv.org/abs/2410.09572
In this study, we provide a detailed analysis of the spike solutions and their stability for theGierer-Meinhardt model on discrete lattices. We explore several phenomena that have no analogues in the continuum limit. For example in the discrete case,
Externí odkaz:
http://arxiv.org/abs/2410.05692
Autor:
Ikeda, Hideo, Kuwamura, Masataka
Mass-conserving reaction-diffusion systems with bistable nonlinearity are considered under general assumptions. The existence of stationary solutions with a single internal transition layer in such reaction-diffusion systems is shown using the analyt
Externí odkaz:
http://arxiv.org/abs/2410.06404
Autor:
Miller, Thomas, Tam, Alexander K. Y., Marangell, Robert, Wechselberger, Martin, Bradshaw-Hajek, Bronwyn H.
We consider a general reaction--nonlinear-diffusion equation with a region of negative diffusivity, and show how a nonlinear regularisation selects a shock position. Negative diffusivity can model population aggregation, but leads to shock-fronted so
Externí odkaz:
http://arxiv.org/abs/2410.04106
Given the recent increase in wildfires, developing a better understanding of their dynamics is crucial. For this purpose, the advection-diffusion-reaction model has been widely used to study wildfire dynamics. In this study, we introduce the previous
Externí odkaz:
http://arxiv.org/abs/2410.02837
Autor:
Boutillon, Nathanaël
We consider a nonlocal Fisher-KPP equation that models a population structured in space and in phenotype. The population lives in a heterogeneous periodic environment: the diffusion coefficient, the mutation coefficient and the fitness of an individu
Externí odkaz:
http://arxiv.org/abs/2410.01342