Random linear-quadratic mathematical models: Computing explicit solutions and applications |
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| Authors: | JC Cortés L Jódar L Villafuerte |
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| Affiliation: | Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Edificio 8G, 2°, 46022 Valencia, Spain |
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| Abstract: | This paper deals with the study of linear random population models and with a random logistic model (where parameters are random variables). Assuming appropriate conditions, the stochastic processes solutions are obtained under closed form using mean square calculus. Expectation and variance expressions for the stochastic processes solutions are given and illustrative examples are included. |
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| Keywords: | Random linear population models Random logistic model Mean square calculus Random differential equation |
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