Discrete time model of sexual systems

被引:3
|
作者
Jamilov, Uygun [1 ,2 ,3 ,4 ]
Mukhamedov, Farrukh [5 ]
Mukhamedova, Farzona [6 ,7 ]
机构
[1] New Uzbekistan Univ, 54 Mustaqillik Ave, Tashkent 100007, Uzbekistan
[2] Akfa Univ, 264 Natl Pk St, Qibray Dist 111221, Tashkent Region, Uzbekistan
[3] Uzbek Acad Sci, VI Romanovskiy Inst Math, 9 Univ Str, Tashkent 100174, Uzbekistan
[4] Natl Univ Uzbekistan, Fac Math, 4 Univ Str, Tashkent 100174, Uzbekistan
[5] United Arab Emirates Univ, Coll Sci, Dept Math Sci, POB 15551, Al Ain, Abu Dhabi, U Arab Emirates
[6] Univ Warwick, EPSRC & MRC Ctr Real World Syst, Zeeman Bldg, Coventry CV4 7AL, England
[7] Univ Warwick, Math Inst, Coventry CV4 7AL, England
关键词
Modelling; Quadratic stochastic operator; Sexual systems; DIFFERENTIATION; MAINTENANCE; OPERATORS; EVOLUTION;
D O I
10.1016/j.heliyon.2023.e17913
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Small factors are the biggest contributors to the biggest changes in an ecosystem which may lead to its demise. Simple things such as tweaking the humidity or tampering with the temperature can be the downfall of the habitants and the ecosystem itself. These changes can be observed right now with the consistent temperature increase on Earth along with the slew of issues that come with global warming. A small change in a few degrees in temperature can perish an entire food supply and the habitat of many already endangered beings forcing them to either adapt or die. Within such an ecosystem the main reason it withstands the test of time boils down to one simple thing; reproduction. This creates the natural question of asking oneself: How does an ecosystem replenish itself and is able to resist collapsing? To even begin considering this thought, one must realise that the size of the population is the key to gaining a deeper understanding as two constituents that are important from evolutionary theory are survival and reproduction. The case of asexual reproducers, it is not difficult to see any alterations that can be introduced to increase reproductivity. Meanwhile, for sexual reproducers, the evolution to increase reproductivity can be observed by looking into the generational data of the species. A certain group of time-based dynamic systems that are connected to a sexual system are the point of contention. The suggested model is a dynamic representation of a hermaphrodite population which is described through quadratic stochastic operators. The key findings offer fresh insights into the future of hermaphrodite populations, that is perhaps a probable solution to prevent the decline of endangered or at-risk species. This demonstrates a fresh perspective on reproduction, which is explored through a purely mathematical approach.
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页数:7
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