We give the exact closed form solution of amodified logistic ordinary differential equation. Other than integrating the above nonlinear differential equation by means of Mathieu functions of the first kind, we also provide a condition of a couple of inequalities involving a, b, c, h and x 0 whose fulfillment is sufficient to ensure that a bounded solution for x(t) there exists.
G. Mingari Scarpello, D. Ritelli (2008). Closed form solution of a periodically forced logistic model. ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE, 54, 85-94 [10.1007/s11565-008-0035-3].
Closed form solution of a periodically forced logistic model
MINGARI SCARPELLO, GIOVANNI;RITELLI, DANIELE
2008
Abstract
We give the exact closed form solution of amodified logistic ordinary differential equation. Other than integrating the above nonlinear differential equation by means of Mathieu functions of the first kind, we also provide a condition of a couple of inequalities involving a, b, c, h and x 0 whose fulfillment is sufficient to ensure that a bounded solution for x(t) there exists.File in questo prodotto:
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