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The Trojan Y Chromosome Strategy (TYC) is a promising eradication method for biological control of non-native species. The strategy works by manipulating the sex ratio of a population through the introduction of \textit{supermales} that…

Optimization and Control · Mathematics 2021-08-06 Jingjing Lyu , Pamela J. Schofield , Kristen M. Reaver , Matthew Beauregard , Rana D. Parshad

Invasive species are a growing threat to ecosystems, particularly in aquatic environments. The Trojan Y Chromosome (TYC) strategy is a promising biological method for reducing invasive populations by introducing genetically modified males…

Populations and Evolution · Quantitative Biology 2025-06-18 Don K. Mallawa Arachchi , Rana D. Parshad , Claus Kadelka

In this paper, we investigate a modified Trojan Y chromosome (TYC) strategy aimed at eradicating invasive species from natural habitats. The proposed mathematical model enhances the original TYC framework by ensuring the non-negativity of…

Analysis of PDEs · Mathematics 2025-04-28 Hong-Ming Yin

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…

Populations and Evolution · Quantitative Biology 2020-06-23 Eric Takyi , Joydeb Bhattacharyya , Rana D. Parshad , Matthew A. Beauregard

Sterile insect technique has been successfully applied in the control of agricultural pests, however, it has a limited ability to control mosquitoes. A promising alternative approach is Trojan Y Chromosome strategy, which works by…

Populations and Evolution · Quantitative Biology 2022-05-31 Jingjing Lyu , Musong Gu , Sheng Wang

The Trojan Y Chromosome Strategy (TYC) is an extremely well investigated biological control method for controlling invasive populations with an XX-XY sex determinism. In \cite{GP12, WP14} various dynamical properties of the system are…

Dynamical Systems · Mathematics 2019-07-16 Rana D. Parshad , Matthew A. Beauregard , Eric M. Takyi , Thomas Griffin , Landrey Bobo

Evolutionary changes impacts interactions among populations and can disrupt ecosystems by driving extinctions or by collapsing population oscillations, posing significant challenges to biodiversity conservation. This study addresses the…

Chaotic Dynamics · Physics 2025-05-13 Preet Mishra , Shyam Kumar , Sorokhaibam Cha Captain Vyom , R. K. Brojen Singh

Controlling pest insects is a challenge of main importance to preserve crop production. In the context of Integrated Pest Management (IPM) programs, we develop a generic model to study the impact of mating disruption control using an…

Dynamical Systems · Mathematics 2018-02-20 Roumen Anguelov , Claire Dufourd , Yves Dumont

Understanding how to limit biological invasion is critical, especially in the context of accelerating anthropogenic ecological changes. Although biological invasion success could be explained by the lack of natural enemies in new regions,…

Populations and Evolution · Quantitative Biology 2020-10-29 Zhiyuan Fu , Yuanming Lu , Donald DeAngelis , Bo Zhang

We have used the Penna ageing model to analyze how the differences in evolution of sex chromosomes depend on the strategy of reproduction. In panmictic populations, when females (XX) can freely choose the male partner (XY) for reproduction…

Populations and Evolution · Quantitative Biology 2008-11-03 Przemyslaw Biecek , Stanislaw Cebrat

In this work we develop and analyze a mathematical model of biological control to prevent or attenuate the explosive increase of an invasive species population in a three-species food chain. We allow for finite time blow-up in the model as…

Analysis of PDEs · Mathematics 2015-02-09 Matthew Beauregard , Kelly Black , Rana Parshad , Emmanuel Quansah

Populations can evolve in order to adapt to external changes. The capacity to evolve and adapt makes successful treatment of infectious diseases and cancer difficult. Indeed, therapy resistance has quickly become a key challenge for global…

Populations and Evolution · Quantitative Biology 2015-06-22 Andrej Fischer , Ignacio Vazquez-Garcia , Ville Mustonen

A general approach to optimizing fast processes using a gender genetic algorithm is described. Its difference from the more traditional genetic algorithm it contains division the artificial population into two sexes. Male subpopulations…

Neural and Evolutionary Computing · Computer Science 2020-02-17 P. A. Golovinski , S. A. Kolodyazhnyi

The paternally inherited Y chromosome has been widely used in population genetic studies to understand relationships among human populations. Our interpretation of Y chromosomal evidence about population history and genetics has rested on…

Populations and Evolution · Quantitative Biology 2014-02-28 Chuan-Chao Wang , Li Jin , Hui Li

Selective control in a population is the ability to control a member of the population while leaving the other members relatively unaffected. The concept of selective control is developed using cell death or apoptosis in heterogeneous cell…

Quantitative Methods · Quantitative Biology 2014-07-29 Diego Calzolari , Giovanni Paternostro , Patrick L. Harrington , Carlo Piermarocchi , Phillip M. Duxbury

The prevalence of sexual reproduction ("sex") in eukaryotes is an enigma of evolutionary biology. Sex increases genetic variation only tells its long-term superiority in essence. The accumulation of harmful mutations causes an immediate and…

Populations and Evolution · Quantitative Biology 2013-08-01 Xiang-Ping Jia , Hong Sun

The human Y chromosome exhibits surprisingly low levels of genetic diversity. This could result from neutral processes if the effective population size of males is reduced relative to females due to a higher variance in the number of…

Populations and Evolution · Quantitative Biology 2013-12-19 Melissa A. Wilson Sayres , Kirk E. Lohmueller , Rasmus Nielsen

Species augmentation is one of the methods used to promote biodiversity and prevent endangered species loss and extinction. The current work applies discrete-time optimal control theory to two models of species augmentation for…

Optimization and Control · Mathematics 2026-02-03 Munkaila Dasumani , Suzanne Lenhart , Gladys K. Onyambu , Stephen E. Moore

A major problem in evolutionary biology is how species learn and adapt under the constraint of environmental conditions and competition of other species. Models of cyclic dominance provide simplified settings in which such questions can be…

Statistical Mechanics · Physics 2025-04-09 Honghao Yu , Robert L. Jack

We model sex-structured population dynamics to analyze pairwise competition between groups differing both genetically and culturally. A sex-ratio allele is expressed in the heterogametic sex only, so that assumptions of Fisher's analysis do…

Populations and Evolution · Quantitative Biology 2012-09-10 F. Molnar , T. Caraco , G. Korniss
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