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.
2016
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]
Abbas, Syed; Mahto, Lakshman; Favini, Angelo; Hafayed, Mokhtar
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/560986
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 20
  • ???jsp.display-item.citation.isi??? 16
social impact