Nonlinear dynamics of a marine phytoplankton-zooplankton system
نویسندگان
چکیده
منابع مشابه
Toxic marine phytoplankton, zooplankton grazers, and pelagic food webs
Interactions between toxic phytoplankton and their zooplankton grazers are complex. Some zooplanktcrs ingest some toxic phytoplankters with no apparent harm, whereas others are deleteriously affected. Phycotoxins vary in their modes of action, levels of toxicity and solubility, and affect grazers in different ways. Beyond effects on direct grazers, toxins may accumulate in and be transfcrrcd th...
متن کاملA fractional-order toxin producing phytoplankton and zooplankton system
In this work, we investigate the dynamical behavior of a fractional-order toxin producing on a phytoplankton–zooplankton (TPPZ) system with nutrient cycling. We propose a mathematical system to model this situation. All the feasible equilibria of the system are obtained and the conditions for the existence of the equilibriums are determined. Local stability analysis of the TPPZ is studied by us...
متن کاملDynamics of a Single Point Mooring Marine Aquaculture Cage as a Simple Vibrating System
The increasing world demand for fish cannot be met by capture fisheries. Aquaculture production is increasing and nowadays cage culture has an important role in meeting the world’s fish demand. The design of the physical structure of a cage is determined by the oceanographic conditions of the culture site. Each design is site-specific and knowledge of the topography, wind force and direct...
متن کاملPhytoplankton-zooplankton dynamics in periodic environments taking into account eutrophication.
In this paper, we derive and analyze a mathematical model for the interactions between phytoplankton and zooplankton in a periodic environment, in which the growth rate and the intrinsic carrying-capacity of phytoplankton are changing with respect to time and nutrient concentration. A threshold value: "Predator's average growth rate" is introduced and it is proved that the phytoplankton-zooplan...
متن کاملNutrient-phytoplankton-zooplankton models with a toxin
Models of nutrient-plankton interaction with a toxic substance that inhibits either the growth rate of phytoplankton, zooplankton or both populations are proposed and studied. For simplicity, it is assumed that both nutrient and the toxin have the same constant input and washout rate. The effects of toxin upon the existence, magnitude, and stability of the steady states are examined. Numerical ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2016
ISSN: 1687-1847
DOI: 10.1186/s13662-016-0935-y