A Hybrid Parabolic and Hyperbolic Equation Model for a Population with Separate Dispersal and Stationary Stages: Well-Posedness and Population Persistence
DOI10.1137/19M124469XzbMath1427.92074OpenAlexW2990335019WikidataQ126664966 ScholiaQ126664966MaRDI QIDQ4973631
Publication date: 28 November 2019
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://epubs.siam.org/doi/pdf/10.1137/19M124469X
comparison principlepersistencehybrid modelnext generation operatorexistence-uniquenessnet reproductive rate
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Initial-boundary value problems for first-order hyperbolic systems (35L50)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Effects of heterogeneity on spread and persistence in rivers
- Theory of functional differential equations. 2nd ed
- Diffusion and ecological problems: Modern perspectives.
- Mathematical biology. Vol. 1: An introduction.
- Dispersal and pattern formation in a discrete-time predator-prey model
- Spreading speed, traveling waves, and minimal domain size in impulsive reaction-diffusion models
- Methods of nonlinear analysis. Vol. II
- Persistence, spread and the drift paradox
- $R_0$ Analysis of a Benthic-Drift Model for a Stream Population
- SPREAD RATES UNDER TEMPORAL VARIABILITY: CALCULATION AND APPLICATION TO BIOLOGICAL INVASIONS
- $R_0$ Analysis of a Spatiotemporal Model for a Stream Population
- Spatial Dynamics of an Age-Structured Population Model of Asian Clams
- A Nonautonomous Juvenile-Adult Model: Well-Posedness and Long-Time Behavior via a Comparison Principle
- The Spectral Approximation of Linear Operators with Applications to the Computation of Eigenelements of Differential and Integral Operators
- Spatial Ecology via Reaction‐Diffusion Equations
- Elements of Mathematical Ecology
- On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models
- A Hybrid Continuous/Discrete-Time Model for Invasion Dynamics of Zebra Mussels in Rivers
- The Effect of Dispersal Patterns on Stream Populations
This page was built for publication: A Hybrid Parabolic and Hyperbolic Equation Model for a Population with Separate Dispersal and Stationary Stages: Well-Posedness and Population Persistence