Mathematical Analysis of Energy-Nutrient Relationships

Mathematical analysis of a nutrient–plankton system with delay

A mathematical model describing the interaction of nutrient-plankton is investigated in this paper. In order to account for the time needed by the phytoplankton to mature after which they can release toxins, a discrete time delay is incorporated into the system. Moreover, it is also taken into account discrete time delays which indicates the partially recycled nutrient decomposed by bacteria af...

Mathematical Analysis of IEEE 802.11 Energy Efficiency

Abstract— Mobility and portability are the major advantages that IEEE 802.11 wireless networks offer over their traditional counterparts, i.e. wired Ethernet networks. However, when nodes are mobile or portable units, power consumption becomes a primary issue since terminals are usually battery driven. In this paper we propose an analytical framework to investigate the energetic cost of communi...

Mathematical Analysis of Bluetooth Energy Efficiency

In this paper, we propose a mathematical framework for the analysis of Bluetooth systems energy efficiency. The dynamic of the system is modelled by means of a finite state Markov chain (FSMC). Hence, we resort to the renewal reward theory to derive an estimation of the average throughput and energy efficiency achieved by the different packet formats, both for AWGN and Rician fading radio chann...

Nutrient Relationships: Cycling

Nutrient Relationships: Cycling

Figure 1. Nutrients may be tied up in bryophytes for decades, or recycle within months, in forests with abundant bryophytes, as in this forest with Isothecium myosuroides. Photo by Michael Lüth. Few quantitative studies have addressed the role of bryophytes in ecosystem nutrient cycling. Nevertheless, bryophytes may play a significant role in N retention and release in the ecosystem (Figure 1)....