Mathematical Analysis of Two Microbial Species Competing for Two Complementary Resources with Internal Storage and Different Removal Rates

نویسندگان

  • FENG-BIN WANG
  • H. L. Smith
چکیده

In the present paper, we consider a mathematical model of two microbial species competing for two complementary nutrients with internal storage and different removal rates. The competitive exclusion, coexistence, and bi-stabilty are predicted in this model as those in the two-species Lotka-Volterra competition model.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On a Mathematical Model Arising from Competition of Phytoplankton Species for a Single Nutrient with Internal Storage: Steady State Analysis

In this paper we construct a mathematical model of two microbial populations competing for a single-limited nutrient with internal storage in an unstirred chemostat. First we establish the existence and uniqueness of steadystate solutions for the single population. The conditions for the coexistence of steady states are determined. Techniques include the maximum principle, theory of bifurcation...

متن کامل

Reaction–diffusion equations of two species competing for two complementary resources with internal storage

Article history: Received 14 May 2010 Revised 26 January 2011 Available online xxxx MSC: 35K55 37C65 92D25

متن کامل

Genetic Relationships of Some Mint Species Using Seed Storage Protein Pattern

Mints are herbaceous perennial plants with aromatic leaves that are cultivated for their essential oils. The essential oil of Mint used in pharmaceutical, perfumery and cosmetics applications. The aim of this study was to analyze the relationship between nine different genotypes of Mentha spicata and M. piperita collected from different regions of Ir...

متن کامل

Competitive Exclusion of Microbial Species for a Single Nutrient with Internal Storage

We study a chemostat model that describes competition between n microbial species for a single-limited resource based on storage. The model incorporates internal resource storage variables that serve the direct connection between species growth and external resource availability. Mathematical analysis for the global dynamics of the model is carried out by using the fluctuating method. It is sho...

متن کامل

Competitive Exclusion of Microbial Species for a Single-limited Resource with Internal Storage

We study a chemostat model that describes competition between n microbial species for a single-limited resource based on storage. The model incorporates internal resource storage variables that serve the direct connection between species growth and external resource availability. Mathematical analysis for the global dynamics of the model is carried out by using the fluctuating method. It is sho...

متن کامل

ذخیره 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 نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009