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Title: On Large and Small Data Blow-Up Solutions in the Trojan Y Chromosome Model
The Trojan Y Chromosome Strategy (TYC) is the only genetic biological control method in practice in North America for controlling invasive populations with an XX–XY sex determinism. Herein a modified organism, that is a supermale or feminised supermale, is introduced into an invasive population to skew the sex ratio over time, causing local extinction. We consider the three species TYC reaction diffusion model, and show that introduction of supermales above certain thresholds, and for certain initial data, solutions can blow-up in finite time. Thus, in order to have biologically meaningful solutions, one needs to restrict parameter and initial data regimes, in TYC type models.  more » « less
Award ID(s):
1715044
PAR ID:
10385063
Author(s) / Creator(s):
; ; ; ;
Date Published:
Journal Name:
Axioms
Volume:
11
Issue:
3
ISSN:
2075-1680
Page Range / eLocation ID:
120
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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