Qualitative behavior of a variable-yield simple food chain with an inhibiting nutrient.
نویسندگان
چکیده
A simple food chain which consists of nutrient, prey and predator in which nutrient is growth limiting at low concentrations but growth inhibiting at high concentrations is investigated in this study. It is assumed that the nutrient concentration is separated into internal and external nutrient concentration and only the internal nutrient level is capable of catalyzing cell growth. It is shown that the dynamics of the system depend on thresholds R(0) and R(1). With inhibition, there exist initial conditions for which the predator becomes extinct but not the prey when R(0)<1. If R(0),R(1)1, the system is uniformly persistent even in the inhibited environment.
منابع مشابه
Food Chains in the Chemostat: Relationships Between Mean Yield and Complex Dynamics
A tritrophic food-chain chemostat model composed of a prey with Monod-type nutrient uptake, a Holling Type II predator and a Holling Type II exploited superpredator is considered in this paper. The bifurcations of the model show that dynamic complexity first increases and then decreases with the nutrient supplied to the bottom of the food chain. Extensive simulations prove that the same holds f...
متن کاملتأثیر آمینواسیدهای استخراج شده از پودر خون و سولفات بر غنیسازی سلنیم، عملکرد و تندی پیاز
Selenium (Se) is known as an essential nutrient for human health. More than 15% of world population suffers Se deficiency mainly due to consumption of poor Se food crops. Bio fortification has been introduced as a sustainable and cost-effective approach to combat Se deficiency in the food chain. In this study the effect of selenite (SeO42-), sulphate, and certain amino acids on yield and bulb s...
متن کاملIntegrated nutrient management using deoiled Jatropha cake for sustained and economic food production
With growing environmental and energy concerns, Jatropha plantations are promoted in degraded/waste lands for the biodiesel production. Nutrient rich nonedible deoiled seed cake, a by-product of Jatropha left out after oil extraction was evaluated at the ICRISAT centre at Patancheru, India as an environment friendly source of nutrients for rainy season maize and soybean followed by postrain...
متن کاملHow to Set up an Effective Food Tax?; Comment on “Food Taxes: A New Holy Grail?”
Whereas public information campaigns have failed to reverse the rising trend in obesity, economists support food taxes as they suggest they can force individuals to change their eating behavior and make the agro-food industry think more about healthy food products. Excise taxes based on the unhealthy nutrient content would be more effective since they impact more on unhealthy food products than...
متن کاملAn Analysis on The Lotka-Volterra Food Chain Model: Stability
The food chain refers to a natural system by which energy is transmitted from one organism to another. In fact, a food chain consists of producers, consumers and decomposition. Presence of complex food web increase the stability of the ecosystem. Classical food chain theory arises from Lotka-Volterra model. In the present paper, the dynamics behavior of three level food chain is studied. A syst...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Mathematical biosciences
دوره 164 1 شماره
صفحات -
تاریخ انتشار 2000