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Título
A generalized Holling type II model for the interaction between dextral-sinistral snails and Pareas snakes
Autor(es)
Materia
Predator–prey model
Generalized Holling’s functional response
Stability
Snail chirality
Clasificación UNESCO
12 Matemáticas
Fecha de publicación
2019-09
Citación
Alonso Izquierdo, A., González León, M. and de la Torre Mayado, M., 2019. A generalized Holling type II model for the interaction between dextral-sinistral snails and Pareas snakes. Applied Mathematical Modelling, 73, pp.459-472. https://doi.org/10.1016/j.apm.2019.04.005
Resumen
[EN] Pareas snakes possess outstanding asymmetry in the mandibular tooth number, which has probably been caused by its evolution to improve the feeding on the predominant dextral snails. Gene mutation can generate chiral inversion on the snail body. A sinistral snail population can thrive in this ecological context. The interactions between dextral/sinistral snails and Pareas snakes are modeled in this paper by using a new generalized functional response of Holling type II. Distinct Pareas species show different bilateral asymmetry degrees. This parameter plays an essential role in the model and determines the evolution of the populations. Stability of the solutions is analyzed for different regimes in the space of parameters.
URI
ISSN
0307-904X
DOI
10.1016/j.apm.2019.04.005
Versión del editor
Colecciones
- MATHPHYS. Artículos [94]