Mathematical Modeling and Sensitivity Analysis of the Existence of Male Calico Cats Population Based on Cross Breeding of All Coat Colour Types

Dani Suandi, Ira Prapti Ningrum, Amalia Nur Alifah, Nurul Izzah, Mazi Prima Reza, Imroatul Khoiriyah Muwahidah

Abstract


The coat color of cats is normally governed by genes found on the X chromosome in both male chromosome XY and female chromosome XX. The meiosis failure in the process of gametogenesis leads to the birth of three-colored male cats caused by an excess of the X chromosome in the male chromosome type XY. The chromosome structure of three-color male cats, called male calico cats, appeared similar to the XXY Klinefelter’s syndrome in human. Mathematical modeling and investigation of the factors that influence the infrequency of male calico cats are our main objectives of this paper. In addition, we also discuss the possible contributions and strategies to overcome the scarcity of these cats. We construct a mathematical model based on a combination of genes in the chromosome that regulates the color of cat coat on the fertilization process. The mathematical model is given as a six-dimensional system of differential equations. Sensitivity analysis is used to investigate the important parameters in the existence of male calico cats. Our finding states that the probability of normal male cats meiosis is a crucial parameter in the maintenance of the existence of male calico cats. Furthermore, one of the strategies that we could recommend in maintaining the existence of male calico cats is minimizing the value of the successful meiosis probability of normal male cats.

Keywords


Male calico cats; cross breeding; sensitivity analysis; population genetics.

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References


Macdonald, D.W., Yamaguchi, N. and Kerby, G., 2000. Group-living in the domestic cat: its sociobiology and epidemiology. The domestic cat: the biology of its behaviour, 2, pp.95-118.

Driscoll, C.A., Menotti-Raymond, M., Roca, A.L., Hupe, K., Johnson, W.E., Geffen, E., Harley, E.H., Delibes, M., Pontier, D., Kitchener, A.C. and Yamaguchi, N., 2007. The Near Eastern origin of cat domestication. Science, 317(5837), pp.519-523.

Loberg, J.M. and Lundmark, F., 2016. The effect of space on behaviour in large groups of domestic cats kept indoors. Applied Animal Behaviour Science, 182, pp.23-29.

SJVFS, 2008:5, 2008. Statens Jordbruksverks freskrifter Och Allmnna rd Omhllande Av Hund Och Katt. [Title Translation: The Swedish Board ofAgricultures Regulations and Recommendations on the Keeping of Dogs andCats], http://www.jordbruksverket.se/download/18. 26424bf71212ecc74b080001024/1242046873606/2008-005.pdf.(accessed09.25.19).

Centerwall, W.R. and Benirschke, K., 1973. Male Tortoiseshell and Calico (TC) Cats: Animal models of sex chromosome mosaics, aneuploids, polyploids, and chimerics. Journal of Heredity, 64(5), pp.272-278.

Centerwall, W.R. and Benirschke, K., 1975. An animal model for the XXY Klinefelter’s syndrome in man: tortoiseshell and calico male cats. American journal of veterinary research, 36(9), pp.1275-1280.

Lyons, L.A., 2012. Genetic testing in domestic cats. Molecular and cellular probes, 26(6), pp.224-230.

Wistuba, J., 2010. Animal models for Klinefelter’s syndrome and their relevance for the clinic. MHR: Basic science of reproductive medicine, 16(6), pp.375-385.

Bamber, R.C., Bamber, R.C., Herdman, E.C. and Herdman, E.C., 1927. The inheritance of black, yellow and tortoiseshell coat-colour in cats. Journal of Genetics, 18(01).

Harvey, M.J.A., 1968. A male pig with an XXY/XXXY sex chromosome complement. Reproduction, 17(2), pp.319-324.

Pyle, R.L., Patterson, D.F., Hare, W.C.D., Kelly, D.F. and Digiulio, T., 1971. XXY sex chromosome constitution in a Himalayan cat with tortoise-shell points. Journal of Heredity, 62(4), pp.220-222.

Pedersen, A.S., Berg, L.C., Almstrup, K. and Thomsen, P.D., 2014. A tortoiseshell male cat: chromosome analysis and histologic examination of the testis. Cytogenetic and genome research, 142(2), pp.107-111.

Hageltorn, M. and Gustavsson, I., 1981. XXY-trisomy identified by banding techniques in a male tortoiseshell cat. Journal of Heredity, 72(2), pp.132-134.

Leaman, T., Rowland, R. and Long, S.E., 1999. Male tortoiseshell cats in the United Kingdom. Veterinary record, 144(1), pp.9-12.

Nicholas, F.W., 2009. Introduction to veterinary genetics. John Wiley & Sons.

Suandi, D., Wijaya, K.P., Apri, M., Sidarto, K.A., Syafruddin, D., Gtz, T. and Soewono, E., 2019. A one-locus model describing the evolutionary dynamics of resistance against insecticide in Anopheles mosquitoes. Applied Mathematics and Computation, 359, pp.90-106.

Prescott, C. W., 1973. Reproduction patterns in the domestic cat. Australian veterinary journal, 49(3): 126-129.

Jemmett, J.E. and Evans, J.M., 1977. A survey of sexual behaviour and reproduction of female cats. Journal of Small Animal Practice, 18(1), pp.31-37.

Nutter, F.B., Levine, J.F. and Stoskopf, M.K., 2004. Reproductive capacity of free-roaming domestic cats and kitten survival rate. Journal of the American Veterinary Medical Association, 225(9), pp.1399-1402.

Cozzi, B., Ballarin, C., Mantovani, R. and Rota, A., 2017. Aging and veterinary care of cats, dogs, and horses through the records of three university veterinary hospitals. Frontiers in veterinary science, 4, p.14.




DOI: http://dx.doi.org/10.5614%2Fcbms.2019.2.2.3

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