SPREADING SPEEDS OF MONOSTABLE EQUATIONS IN LOCALLY SPATIALLY VARIATIONAL HABITAT WITH HYBRID DISPERSAL

Liang Kong

doi:10.11948/20190123

2021 Volume 11 Issue 1

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Liang Kong. SPREADING SPEEDS OF MONOSTABLE EQUATIONS IN LOCALLY SPATIALLY VARIATIONAL HABITAT WITH HYBRID DISPERSAL[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 81-100. doi: 10.11948/20190123

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Liang Kong. SPREADING SPEEDS OF MONOSTABLE EQUATIONS IN LOCALLY SPATIALLY VARIATIONAL HABITAT WITH HYBRID DISPERSAL[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 81-100. doi: 10.11948/20190123

SPREADING SPEEDS OF MONOSTABLE EQUATIONS IN LOCALLY SPATIALLY VARIATIONAL HABITAT WITH HYBRID DISPERSAL

Liang Kong^1, ,

1.
Department of Mathematical Sciences, University of Illinois at Springfield, One University Plaza, MS WUIS 13, Springfield, Illinois 62629, United States

Corresponding author: Kong Liang, Email address: lkong9@uis.edu

Abstract

Abstract

In this paper, we consider a monostable model with hybrid dispersal. This model characterizes the time evolution of a population which disperses both locally and nonlocally in locally spatially inhomogeneous media. It is shown that such equation has a spreading speed in every direction.
- Monostable equations /
- random dispersal /
- nonlocal dispersal /
- localized spatial inhomogeneity /
- principal eigenvalue /
- sub-solution /
- super-solution /
- comparison principle /
- spreading speeds
MSC: 35K57, 45G10, 58D20, 92D25

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References

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