Discrete May–Leonard Competition Models III

نویسنده

  • LIH-ING W. ROEGER
چکیده

A discretization method attributed to Kahan is used to approximate the May–Leonard (M–L) competition model for three species. The local dynamics of this discrete-time M–L model are analyzed. This model differs from the discrete M–L models being studied previously. This discrete model shows dynamical consistency with the continuous M–L model. Numerically, we showed that the discrete M–L model has a degenerate Hopf-bifurcation, which is consistent with the continuous M–L model.

برای دانلود رایگان 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

Discrete May-leonard Competition Models Ii

We analyzed the local dynamics of a three-dimensional Ricker type discrete-time competition model that is analogous to the May-Leonard (M-L) differential equation model. The symmetric discrete M-L model is mentioned by Hofbauer et al. [7, J. Math. Biol., 25:553–570,1987] as “perhaps one of the most difficult three species problems”. Both of the discrete and the continuous M-L models have simila...

متن کامل

Continuous versus Discrete Single Species Population Models with Adjustable Reproduci’ive Strategies

We investigate population models with both continuous and discrete elements. Birth is assumed to occur at discrete instants of time whereas death and competition for resources and space occur continuously during the season. We compare the dynamics of such discrete-continuous hybrid models with the dynamics of purely discrete models where within-season mortality and competition are modelled dire...

متن کامل

Interplay between partnership formation and competition in generalized May-Leonard games

Abstract In order to better understand the interplay of partnership and competition in population dynamics we study a family of generalized May-Leonard models with N species. These models have a very rich structure, characterized by different types of space-time patterns. Interesting partnership formations emerge following the maxim that ”the enemy of my enemy is my friend.” In specific cases c...

متن کامل

Eigenvalue Assignment Of Discrete-Time Linear Systems With State And Input Time-Delays

Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stabi...

متن کامل

Testing Soccer League Competition Algorithm in Comparison with Ten Popular Meta-heuristic Algorithms for Sizing Optimization of Truss Structures

Recently, many meta-heuristic algorithms are proposed for optimization of various problems. Some of them originally are presented for continuous optimization problems and some others are just applicable for discrete ones. In the literature, sizing optimization of truss structures is one of the discrete optimization problems which is solved by many meta-heuristic algorithms. In this paper, in or...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2004