A Gender-Selective Harvesting Strategy: Weak Allee Effects and a Non-hyperbolic Extinction Boundary.

Autor: Takyi EM; Department of Mathematics and Computer Science, Ursinus College, Collegeville, PA, 19426, USA. etakyi@ursinus.edu., Bhattacharyya J; Department of Mathematics, Karimpur Pannadevi College, Nadia, West Bengal, 741152, India., Parshad RD; Department of Mathematics, Iowa State University, Ames, IA, 50011, USA.
Jazyk: angličtina
Zdroj: Acta biotheoretica [Acta Biotheor] 2023 Mar 18; Vol. 71 (2), pp. 11. Date of Electronic Publication: 2023 Mar 18.
DOI: 10.1007/s10441-023-09462-w
Abstrakt: Recently a gender-selective harvesting strategy has been proposed for possible control of aquatic invasive species, wherein females of the invasive species are harvested, whilst stocking the males (abbreviated as FHMS strategy) (Lyu et al. in Nat Resour Model 33(2):e12252, 2020). We consider the FHMS strategy with a weak Allee effect, and show that its extinction boundary need not be hyperbolic. To the best of our knowledge, this is the first example of a non-hyperbolic extinction boundary in two-compartment mating models structured by sex. The model possesses a rich dynamical structure, with several local co-dimension one bifurcations occurring. We also show the occurrence of a global homoclinic bifurcation, which has applicability for large scale strategic bio-control.
(© 2023. Prof. Dr. Jan van der Hoeven stichting voor theoretische biologie.)
Databáze: MEDLINE
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