Spatiotemporal patterns in an excitable plankton system with lysogenic viral infection

Autor(en): Malchow, H 
Hilker, FM
Sarkar, RR
Brauer, K
Stichwörter: ABUNDANCE; BLOOM; CHAOS; Computer Science; Computer Science, Interdisciplinary Applications; Computer Science, Software Engineering; DYNAMICS; EMILIANIA-HUXLEYI; excitability; lysogeny; Mathematics; Mathematics, Applied; MECHANISM; MODELS; noise-enhanced spatial spread and survival; PHYTOPLANKTON; plankton; spatiotemporal structures; stochastic reaction-diffusion system; TRAVELING-WAVES; viral infections; VIRUS-LIKE PARTICLES
Erscheinungsdatum: 2005
Herausgeber: PERGAMON-ELSEVIER SCIENCE LTD
Journal: MATHEMATICAL AND COMPUTER MODELLING
Volumen: 42
Ausgabe: 9-10
Startseite: 1035
Seitenende: 1048
Zusammenfassung: 
An excitable model of phytoplankton-zooplankton dynamics is considered for the case of lysogenic viral infection of the phytoplankton population. The phytoplankton population is split into a susceptible (S) and an infected (I) part. Both parts grow logistically, limited by a common carrying capacity. Zooplankton (Z) is grazing on susceptibles and infected, following a Holling Type-III functional response. The local analysis of the S-I-Z differential equations yields a number of stationary and/or oscillatory regimes and their combinations. Correspondingly interesting is the spatiotemporal behaviour, modelled by stochastic reaction-diffusion equations. Spatial spread or suppression of infection will be presented just as well as competition of concentric and/or spiral population waves for space. The external noise can enhance he survival and spread of susceptibles and infected, respectively, that would go extinct in deterministic environment. In the parameter range of excitability, noise can induce local blooms of susceptible and infected. (c) 2005 Elsvier Ltd. All rights reserved.
ISSN: 08957177
DOI: 10.1016/j.mcm.2004.10.025

Show full item record

Google ScholarTM

Check

Altmetric