木质
发表于 2025-3-25 06:59:32
2193-4789 ematical biology.Based on a mini-course given at Institut He.This book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts..The first part is an introduction to the maximum principle, the
巡回
发表于 2025-3-25 07:55:59
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Filibuster
发表于 2025-3-25 14:46:27
The Principal Floquet Bundle for Parabolic Equationso proofs of the exponential separation property. One is based on the Harnack principle, and the other one relies on the generalized relative entropy. Finally,we introduce the notion of the normalized principal Floquet bundle, and derive the smooth dependence of the bundle on the coefficients in appropriate settings.
防锈
发表于 2025-3-25 18:24:06
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abysmal
发表于 2025-3-25 21:34:16
Elements of Adaptive Dynamicsble strategy (ESS), continuously stable strategy, neighborhood invader strategy, dimorphism (coexistence of strategies) and evolutionary branching point, in concrete terms for a reaction-diffusion-advection model, supplemented by analytical results and examples.
现代
发表于 2025-3-26 02:15:03
Selection-Mutation Modelsere the population is structured by trait and time only. In Section 10.2, we consider the problem of evolution of dispersal rate by incorporating the spatial variable in the model, and discuss a result of Perthame and Souganidis related to the evolution of slow dispersal in spatially heterogeneous and temporally constant environments.
有帮助
发表于 2025-3-26 04:22:04
The Maximum Principle and the Principal Eigenvalues for Single Equations subsolutions in a generalized sense which enables the gluing of families super- or subsolutions. Next, we derive the existence of principal eigenvalue by applying the Krein–Rutman theorem. We will also determine the limit of principal eigenvalue as the diffusion rate tends to zero or infinity. Fina
一加就喷出
发表于 2025-3-26 10:58:50
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保守
发表于 2025-3-26 15:27:25
The Maximum Principle and the Principal Eigenvalue for Systemsenvalue for cooperative elliptic/parabolic systems is considered, and the asymptotic behavior of the principal eigenvalues for small diffusion rates is determined. As an application, we apply the theory to a two-species competition system.
Polydipsia
发表于 2025-3-26 18:25:47
The Principal Floquet Bundle for Parabolic Equationss a natural generalization of the principal eigenvalue when the coefficients for the equations are time-independent or time-periodic. Next, we give two proofs of the exponential separation property. One is based on the Harnack principle, and the other one relies on the generalized relative entropy.