Disease-induced chaos, coexistence, oscillations, and invasion failure in a competition-model with strong Allee effect
DOI10.1016/J.MBS.2019.108267zbMath1432.92107OpenAlexW2980602518WikidataQ90771641 ScholiaQ90771641MaRDI QIDQ2295988
Horst Malchow, Merlin C. Köhnke
Publication date: 17 February 2020
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.mbs.2019.108267
horizontal transmissionvertical transmissioninvasioninfectionAllee effectcompetition-diffusion models
Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40)
Related Items (4)
Cites Work
- Dynamics of SI epidemic with a demographic Allee effect
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Mathematical physiology
- A spatial model for the spread of invading organisms subject to competition
- Dynamical stabilization of an unstable equilibrium in chemical and biological systems
- Wave pinning in competition-diffusion models in variable environments
- A Michaelis-Menten type food chain model with strong Allee effect on the prey
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Allee dynamics and the spread of invading organisms
- A diffusive SI model with Allee effect and application to FIV
- Fortune favours the brave: movement responses shape demographic dynamics in strongly competing populations
- Dynamics of SI models with both horizontal and vertical transmissions as well as Allee effects
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
- Disease Induced Oscillations between Two Competing Species
- Ecological chaos in the wake of invasion.
This page was built for publication: Disease-induced chaos, coexistence, oscillations, and invasion failure in a competition-model with strong Allee effect