Prey-predator dynamics driven by the solar radiation. Part I

Sertorio, L. and Tinetti, G. (2000) Prey-predator dynamics driven by the solar radiation. Part I. Il nuovo cimento C, 23 C (6). pp. 635-654. ISSN 1826-9885

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We study a model ecosystem represented by two components: prey and predator. The predator feeds only on the prey, the prey, in turn, feeds on the solar radiation. In this scheme the two-species dynamics is no longer independent of the external physical conditions. Such independence was instead postulated in the Lotka-Volterra scheme. In this paper we consider the growth of the prey not unbounded (exponential), but logistic, where the saturation factor is governed by the available solar flux, more precisely by the percent of the solar flux that contains the photon frequencies which can drive the photosynthesis. In this way the solar flux represents the driving term of the dynamics, as we expect in general for a realistic ecosystem. The system is asymptotically stable. The equilibrium values of the prey and predator numbers depend on several parameters. The system contains two nonlinear coupling terms and two coupling parameters. The dependence of the equilibrium point on the coupling parameters is studied in detail. According to this model, we can define a predator efficiency and a global solar efficiency. We discuss the relationship between these two functions of the coupling parameters and the maximum value that the predator population can reach.

Item Type: Article
Uncontrolled Keywords: Climatology; Climate dynamics; Ocean/Earth/atmosphere interaction; Solar radiation
Subjects: 500 Scienze naturali e Matematica > 550 Scienze della Terra > 551.6 Climatologia e tempo atmosferico (Classificare qui i lo studio dei Cambiamenti climatici)
Depositing User: Marina Spanti
Date Deposited: 09 Mar 2020 16:13
Last Modified: 09 Mar 2020 16:13

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