Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations

نویسنده

  • Lucas C. Pulley
چکیده

...................................................................................................................3 Research Project Background.............................................................................4 -Predator-Prey Interaction -Natural Selection and Coevolution -The Test Case: Canadian Lynx and Snowshoe Hare Laying a Foundation in Differential Equations..............................................10 -What is a differential equation? -Different types and classifications Mathematical Predator-Prey Models................................................................12 -Developing a Model -Predator-Prey Models -The Lotka-Volterra Model Analyzing the Differential Equation..................................................................19 -Discovering Critical Values -Computer Simulations -Restrictions and Limitations Conclusions and Future Work............................................................................24 Bibliography.......................................................................................................... 27

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

Dynamical behavior of a stage structured prey-predator model

In this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. The stages for prey have been considered. The proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. The model is analyzed by using linear stability analysis to ob...

متن کامل

The Stability of Some Systems of Harvested Lotka-Volterra Predator-Prey Equations

Some scientists are interesting to study in area of harvested ecological modelling. The harvested population dynamics is more realistic than other ecological models. In the present paper, some of the Lotka-Volterra predator-prey models have been considered. In the said models, existing species are harvested by constant or variable growth rates. The behavior of their solutions has been analyzed ...

متن کامل

Mathematical Modeling and Stability of Predator-Prey Systems

This work investigated the stability of some Lotka-Volterra type models. We used the Liapunov method, which consists in analyzing the stability of systems of ordinary differential equations (ODE's), around the equilibrium, when submitted to perturbations in the initial conditions.

متن کامل

The Lotka-Volterra Predator-Prey Equations

One may find out the application‎ ‎of mathematics in the areas of ecology‎, ‎biology‎, ‎environmental‎ ‎sciences etc‎. ‎Mathematics is particulary used in the problem of‎ ‎predator-prey known as lotka-Volterra predator-prey equations.‎ ‎Indeed‎, ‎differential equations is employed very much in many areas‎ ‎of other sciences‎. ‎However‎, ‎most of natural problems involve some‎ ‎unknown functions...

متن کامل

Stability analysis of a fractional order prey-predator system with nonmonotonic functional response

In this paper, we introduce fractional order of a planar fractional prey-predator system with a nonmonotonic functional response and anti-predator behaviour such that the adult preys can attack vulnerable predators. We analyze the existence and stability of all possible equilibria. Numerical simulations reveal that anti-predator behaviour not only makes the coexistence of the prey and predator ...

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 2014