Regular ArticleComptetition in a Spatially Heterogeneous Environment: Modelling the Risk of Spread of a Genetically Engineered Population
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Shigesada et al. (1986) and population spread in heterogeneous environments
2020, Theoretical Population BiologyQualitative analysis of a diffusive preypredator model
2012, Applied Mathematics LettersCitation Excerpt :In essence, the classical Lotka–Volterra competition model with diffusion is used for two competing populations, one the natural species and the other a genetically engineered species or strain. The focus in [1] is on whether a small number of genetically engineered species can spatially invade a natural species. It is well-known that prey–predator type interactions can generate complex processes, especially when a spatial structure is present and affects the population dynamics of all species involved.
The effect of the spatial configuration of habitat fragmentation on invasive spread
2010, Theoretical Population BiologyCitation Excerpt :They further presented an analytical formula for the frontal speed of the traveling periodic wave as a function of the spatially dependent diffusivity and growth rate. Subsequently, this approach was extended to semi-periodically fragmented environments (Shigesada et al., 1987), the spread of genetically modified organisms into a natural population (Cruywagen et al., 1996), directional movement in riverine habitats (Lutscher et al., 2006) and sinusoidally varying environments (Kinezaki et al., 2006). The model for one-dimensional space (Shigesada et al., 1986) was further extended to a two-dimensional case in which belt-like favorable and unfavorable habitats were alternately arranged in a striped pattern (Kinezaki et al., 2003).
Competition and dispersal in predator-prey waves
1999, Theoretical Population BiologyA sex-structured delayed recruitment model
1996, Mathematical BiosciencesMathematical Modelling of an Advection-driven Interspecific Competition
2021, Applied Mathematics and Information Sciences