In this paper, we present a fractional model of interacting phytoplankton species in which one species produces chemical which is stimulatory in nature to the other species. We study existence, uniqueness, permanence, persistence and stability of the solution. We introduce a new method to prove permanence and persistence, which may be applicable to several ecological models of fractional order. At the end we propose a discritization method and perform some numerical simulations to validate our analytical findings.
Dynamical Study of Fractional Model of Allelopathic Stimulatory Phytoplankton Species / Abbas, Syed; Mahto, Lakshman; Favini, Angelo; Hafayed, Mokhtar. - In: DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS. - ISSN 0971-3514. - STAMPA. - 24:3(2016), pp. 267-280. [10.1007/s12591-014-0219-5]
Dynamical Study of Fractional Model of Allelopathic Stimulatory Phytoplankton Species
ABBAS, SYED;FAVINI, ANGELO;
2016
Abstract
In this paper, we present a fractional model of interacting phytoplankton species in which one species produces chemical which is stimulatory in nature to the other species. We study existence, uniqueness, permanence, persistence and stability of the solution. We introduce a new method to prove permanence and persistence, which may be applicable to several ecological models of fractional order. At the end we propose a discritization method and perform some numerical simulations to validate our analytical findings.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.