Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 10 (2015), 139 -- 148

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This work is licensed under a Creative Commons Attribution 4.0 International License.

APPROXIMATE SOLUTIONS TO SOME NON-AUTONOMOUS DIFFERENTIAL EQUATIONS FOR GROWTH PHENOMENA

Youness Mir

Abstract. Growth modeling is widely used in various fields of applied sciences. The purpose of this paper is to develop analytic approximate solutions to some non-autonomous differential equations used in population growth. We demonstrate that when the carrying capacity varies with time, an approximate solution to the generalized Turner model and any particular case of this model can be produced without expensive calculations.

2010 Mathematics Subject Classification: 91B62; 65L05; 34C60.
Keywords: Growth models; Turner model; generalized logistic model; carrying capacity.

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Youness Mir
Département de mathématiques, Université de Sherbrooke
2500 Boulevard de l'Université,
Sherbrooke (Qc), Canada, J1K 2R1.
E-mail: youness.mir@usherbrooke.ca

http://www.utgjiu.ro/math/sma