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.

Abbas, S., Mahto, L., Favini, A., Hafayed, M. (2016). Dynamical Study of Fractional Model of Allelopathic Stimulatory Phytoplankton Species. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 24(3), 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.
2016
Abbas, S., Mahto, L., Favini, A., Hafayed, M. (2016). Dynamical Study of Fractional Model of Allelopathic Stimulatory Phytoplankton Species. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 24(3), 267-280 [10.1007/s12591-014-0219-5].
Abbas, Syed; Mahto, Lakshman; Favini, Angelo; Hafayed, Mokhtar
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/560986
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