☆ 4.5 Article

Perturbation problem for the indefinite nonlocal periodic-parabolic equation

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2023)

Related references

Note: Only part of the references are listed.

Article Mathematics

Principal spectral theory of time-periodic nonlocal dispersal operators of Neumann type

Hoang-Hung Vo

Summary: In this paper, we prove several limits of the principal eigenvalue for a nonlocal operator of Neumann type, which are significant in understanding the dynamics of biological populations. By classifying the dispersal rate and dispersal range based on the Ecological Stable Strategy of persistence, we obtain a complete understanding of the limits of the principal eigenvalue. This paper also solves some open problems and achieves the maximum principle for this type of operator.

MATHEMATISCHE NACHRICHTEN (2022)

Add to Collection

Article Mathematics, Applied

Asymptotic Profiles for Positive Solutions in Periodic-Parabolic Problem

Jian-Wen Sun

Summary: This paper investigates the existence and asymptotic behavior of positive periodic solutions, and explores the impacts of linear and nonlinear parts on the solutions.

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2022)

Add to Collection

Article Mathematics

Nonlocal dispersal equations with almost periodic dependence. I. Principal spectral theory

Maria Amarakristi Onyido et al.

Summary: This series of two papers focuses on the study of principal spectral theory of nonlocal dispersal operators with almost periodic dependence and the asymptotic dynamics of nonlinear nonlocal dispersal equations with almost periodic dependence. The first part investigates top Lyapunov exponents and generalized principal eigenvalues, providing various characterizations and studying the impact of time and space variations on them. The second part will apply the developed principal spectral theory to study the asymptotic dynamics of nonlinear nonlocal dispersal equations.

JOURNAL OF DIFFERENTIAL EQUATIONS (2021)

Add to Collection

Article Mathematics, Applied

Effects of dispersal and spatial heterogeneity on nonlocal logistic equations

Jian-Wen Sun

Summary: The paper focuses on the nonlocal dispersal logistic equations in heterogeneous environment, studying the spectrum theory, asymptotic behavior, and existence and uniqueness of positive stationary solutions. By utilizing continuous lemma and nonlocal estimates, the limiting behavior of positive solutions with small or large dispersal rates is determined. The impact of spatial heterogeneity on the long time behavior of evolution equations is also analyzed.

NONLINEARITY (2021)

Add to Collection

Article Mathematics

Propagation dynamics of a nonlocal dispersal Fisher-KPP equation in a time-periodic shifting habitat

Guo-Bao Zhang et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2020)

Add to Collection

Article Mathematics, Applied

Sharp profiles for periodic logistic equation with nonlocal dispersal

Jian-Wen Sun

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2020)

Add to Collection

Article Mathematics

The generalised principal eigenvalue of time -periodic nonlocal dispersal operators and applications

Yuan-Hang Su et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2020)

Add to Collection

Article Mathematics

The principal eigenvalue for periodic nonlocal dispersal systems with time delay

Xing Liang et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2019)

Add to Collection

Article Mathematics

Nonlocal dispersal equations in time-periodic media: Principal spectral theory, limiting properties and long-time dynamics

Zhongwei Shen et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2019)

Add to Collection

Article Mathematics, Applied

Principal eigenvalue and maximum principle for cooperative periodic-parabolic systems

I. Anton et al.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2019)

Add to Collection

Article Mathematics, Applied

HOW DOES NONLOCAL DISPERSAL AFFECT THE SELECTION AND STABILITY OF PERIODIC TRAVELING WAVES?

Jonathan A. Sherratt

SIAM JOURNAL ON APPLIED MATHEMATICS (2018)

Add to Collection

Article Mathematics, Applied

ON EIGENVALUE PROBLEMS ARISING FROM NONLOCAL DIFFUSION MODELS

Fang Li et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2017)

Add to Collection

Article Mathematics

The periodic principal eigenvalues with applications to the nonlocal dispersal logistic equation

Jian-Wen Sun et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2017)

Add to Collection

Article Mathematics

Approximations of random dispersal operators/equations by nonlocal dispersal operators/equations

Wenxian Shen et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2015)

Add to Collection

Article Mathematics, Applied

Global dynamics of a competition model with non-local dispersal I: The shadow system

Fang Li et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2014)

Add to Collection

Article Mathematics, Applied

Criteria for the Existence and Lower Bounds of Principal Eigenvalues of Time Periodic Nonlocal Dispersal Operators and Applications

Nar Rawal et al.

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2012)

Add to Collection

Article Mathematics

THE PERIODIC LOGISTIC EQUATION WITH SPATIAL AND TEMPORAL DEGENERACIES

Yihong Du et al.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (2012)

Add to Collection

Article Mathematics, Applied

RANDOM DISPERSAL VS. NON-LOCAL DISPERSAL

Chiu-Yen Kao et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2010)

Add to Collection

Article Mathematics

Spreading speeds for monostable equations with nonlocal dispersal in space periodic habitats

Wenxian Shen et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2010)

Add to Collection

Article Mathematics

On a simple criterion for the existence of a principal eigenfunction of some nonlocal operators

Jerome Coville

JOURNAL OF DIFFERENTIAL EQUATIONS (2010)

Add to Collection

Article Mathematics

Spectral theory for nonlocal dispersal with periodic or almost-periodic time dependence

V. Hutson et al.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS (2008)

Add to Collection

Article Mathematics

On the effects of migration and spatial heterogeneity on single and multiple species

Y Lou

JOURNAL OF DIFFERENTIAL EQUATIONS (2006)

Add to Collection

Article Biology

The evolution of dispersal

V Hutson et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2003)

Add to Collection

© Peeref 2019-2024. All rights reserved.