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Fay, Temple H.; Lott, P. Aaron – International Journal of Mathematical Education in Science and Technology, 2002
This paper discusses a result of Li and Shen which proves the existence of a unique periodic solution for the differential equation x[dots above] + kx[dot above] + g(x,t) = [epsilon](t) where k is a constant; g is continuous, continuously differentiable with respect to x , and is periodic of period P in the variable t; [epsilon](t) is continuous…
Descriptors: Equations (Mathematics), Algebra, Calculus, Mathematical Logic
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Fay, Temple H.; Greeff, Johanna C. – Mathematics and Computer Education, 1999
Introduces a model of differential equations for students--a very real overpopulation problem is occurring in the Ndumu Game Reserve in KwaZulu-Natal, South Africa, where one species of antelope, the Nyala, is crowding out another species, the Bushbuck. Constructs a competing species model to mathematically describe what is occurring in Ndumu.…
Descriptors: Animals, Calculus, Elementary Secondary Education, Foreign Countries
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Fay, Temple H.; Greeff, Johanna C. – Mathematics and Computer Education, 1999
Adds a cropping or harvesting term to the animal overpopulation model developed in Part I of this article. Investigates various harvesting strategies that might suggest a solution to the overpopulation problem without actually culling any animals. (ASK)
Descriptors: Animals, Calculus, Elementary Secondary Education, Foreign Countries