Optimal control and analysis of a modified trojan Y-Chromosome strategy

Beauregard, Matthew A.; Parshad, Rana D.; Boon, Sarah; Conaway, Harley; Griffin, Thomas W.; Lyu, Jingjing

doi:10.1016/j.ecolmodel.2019.108854

Cited by 7 publications

(15 citation statements)

References 35 publications

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“…Revisions to the TYC model may remove this inconsistency present in current models. A promising revision and modification to the classical TYC model are models that include the strong Allee effect [11,23,42] and intraspecies competition [11] for females among males and supermales, and finite time effects [43]. Sexual selection, might also play a role herein.…”

Section: Discussionmentioning

confidence: 99%

“…Biological control is an alternative means of control, where a species is released to control the invasive population by predation, competition, disease, or manipulating the mating system [9,10]. The recent advancement with gene drive technology makes this approach even more promising, from both modeling and practical standpoints [11][12][13][14]. The Trojan Y chromosome strategy (TYC) is a promising genetic biocontrol strategy which circumvents the detriment due to chemical control [15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

“…A mathematical model for the TYC strategy was first pioneered in [16], and has been well investigated [11,19,[21][22][23][24]. Prior work on TYC [25][26][27][28], shows that depending on the introduction rate of the supermale/feminized supermale, and initial data, eradication is always possible.…”

Section: Introductionmentioning

confidence: 99%

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On Large and Small Data Blow-Up Solutions in the Trojan Y Chromosome Model

Parshad

Beauregard

Takyi

et al. 2022

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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.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On Large and Small Data Blow-Up Solutions in the Trojan Y Chromosome Model

Parshad

Beauregard

Takyi

et al. 2022

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“…Publication of early TYC (hereafter, "YY male") papers stimulated an array of subsequent simulation studies addressing a host of questions using complex mathematical formulae (e.g., Parshad and Gutierrez 2010; Gutierrez et al 2012; Parshad et al 2013; Wang et al 2014; Kelly and Wang 2017; Lyu et al 2019; Beauregard et al 2020). However, scant investigation has been devoted to combining manual suppression with the stocking of YY male fish (but see Schill et al 2017 and Day et al 2020) or to comparing the efficacy of the original F YY stocking approach to M YY stocking in hypothetical IPM programs (but see Kelly and Wang 2017).…”

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confidence: 99%

Simulated Use of YY Male Stocking and Suppression for Eradicating Common Carp Populations

McCormick

Schill

Meyer

2020

N American J Fish Manag

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The introduction and subsequent spread of Common Carp Cyprinus carpio throughout the world represent one of the most destructive and pervasive forces impacting aquatic ecosystems. Herein we use computer simulations to predict if stocking YY male carp in conjunction with manual netting or piscicide use could eradicate invasive Common Carp populations. Two forms of YY males were evaluated, including sperm-producing (M YY ) and egg-producing (F YY ) fish. A stochastic individual-based population model was used to evaluate the effects of simulated management actions on both the abundance and extirpation probabilities of high-and low-density populations. Results predicted that some YY male stocking scenarios alone could eradicate carp populations. For example, when stocking F YY carp into low-density populations, predicted extirpation probabilities exceeded 0.87 when stocking at least 50 carp/ha was maintained for at least 10 years. Additionally, a one-time use of rotenone (to reduce the virtual population by 90%) plus stocking at least 50 F YY carp/ha for at least 5 years into low-density populations resulted in predicted extirpation probabilities exceeding 0.88. Favorable extirpation probabilities were also obtained by combining YY male stocking and either selective (i.e., no culling of stocked YY males) or non-selective annual suppression. For example, F YY stocking with only 10% sustained, non-selective suppression yielded extinction probabilities exceeding 95% in 15 years, while increasing suppression levels to 50% resulted in extirpation probabilities over 95% within 5 years. Without exception, M YY stocking functioned far less efficiently in simulations than F YY stocking, but M YY carp did work in a small subset of low-density scenarios and may also have prophylactic utility where prior eradication has occurred and where there is a high risk of re-invasion. We conclude that stocking of YY male Common Carp is worthy of field testing, but additional simulations are needed to explore other questions not addressed in this study.

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“…However, the three species TYC model is now known to be ill-posed -and solutions to the female component can blow-up in finite time (Parshad et al, 2019), if the introduction of supermales is too large. -In order to circumvent the issues of blow-up or "unphysical" solutions, and due to the paucity of supermales, recent investigations into TYC type biocontrol have focused on (1) remodeling mating dynamics in TYC type models (Beauregard et al, 2020;Bhattacharyya et al, 2020) and ( 2) investigation models that "mimic" the TYC dynamics without using supermales such as using selective harvesting strategically (Lyu et al, 2020;Lyu, 2018).…”

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confidence: 99%

Mimicking the TYC strategy: Weak Allee effects, and a nonhyperbolic extinction boundary

Takyi¹,

Bhattacharyya²,

Parshad³

et al. 2020

Preprint

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The Trojan Y Chromosome strategy (TYC) is a genetic biocontrol strategy designed to alter the sex ratio of a target invasive population by reducing the number of females over time. Recently an alternative strategy is introduced, that mimics the TYC strategy by harvesting females whilst stocking males (Lyu et al., 2020) (FHMS). We consider the FHMS strategy, with a weak Allee effect, and show that the extinction boundary need not be hyperbolic. To the best of our knowledge, this is the first example of a non-hyperbolic extinction boundary in mating models, structured by sex. Next, we consider the spatially explicit model and show that the weak Allee effect is both sufficient and necessary for Turing patterns to occur. We discuss the applicability of our results to large scale biocontrol, as well as compare and contrast our results to the case with a strong Allee effect.

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Optimal control and analysis of a modified trojan Y-Chromosome strategy

Cited by 7 publications

References 35 publications

On Large and Small Data Blow-Up Solutions in the Trojan Y Chromosome Model

On Large and Small Data Blow-Up Solutions in the Trojan Y Chromosome Model

Simulated Use of YY Male Stocking and Suppression for Eradicating Common Carp Populations

Mimicking the TYC strategy: Weak Allee effects, and a nonhyperbolic extinction boundary

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