A Runge-Kutta numerical scheme applied in solving predator-prey fuzzy model with Holling type II functional response

نویسندگان

چکیده

The predator-prey model has been extensively studied, but only studies models in a certain environment, where all parameters and initial values involved the are assumed to be certain. In real practice, some often uncertain. To overcome this uncertainty problem, can made by using fuzzy theoretical approach. paper, we develop numerical scheme for solving two with Holling type II functional response considering populations. behavior of was studied qualitatively 5th order Runge-Kutta method which modified system Zadeh extension principle. simulation results show that, when populations prey predators fuzzy, would same as crisp model. Finally, conclude that resulting represents generalization behavior. This gives more realistic since solution is obtained explicitly problem uncertainty.

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Global dynamics of a predator-prey system with Holling type II functional response∗

Abstract. In this paper, a predator-prey system with Holling type II functional response and stage structure is investigated. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the system is studied. The existence of the orbitally asymptotically stable periodic solution is established. By using suitable Lyapunov functions and the LaSal...

متن کامل

Traveling waves in a diffusive predator–prey model with holling type-III functional response

We establish the existence of traveling wave solutions and small amplitude traveling wave train solutions for a reaction-diffusion system based on a predator–prey model with Holling type-III functional response. The analysis is in the three-dimensional phase space of the nonlinear ordinary differential equation system given by the diffusive predator– prey system in the traveling wave variable. ...

متن کامل

Harvesting and Hopf Bifurcation in a prey-predator model with Holling Type IV Functional Response

This paper aims to study the effect of Harvesting on predator species with time-delay on a Holling type-IV prey-predator model. Harvesting has a strong impact on the dynamic evolution of a population. Two delays are considered in the model of this paper to describe the time that juveniles of prey and predator take to mature. Dynamics of the system is studied in terms of local and Hopf bifurcati...

متن کامل

Periodic solutions for a predator-prey model with Holling-type functional response and time delays

A delayed periodic Holling-type predator–prey model without instantaneous negative feedback is investigated. By using the continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model. Numerical simulat...

متن کامل

Dynamic Analysis of an Impulsively Controlled Predator-Prey Model with Holling Type IV Functional Response

The dynamic behavior of a predator-prey model with Holling type IV functional response is investigated with respect to impulsive control strategies. The model is analyzed to obtain the conditions under which the system is locally asymptotically stable and permanent. Existence of a positive periodic solution of the system and the boundedness of the system is also confirmed. Furthermore, numerica...

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

ژورنال

عنوان ژورنال: Frontiers in Applied Mathematics and Statistics

سال: 2023

ISSN: ['2297-4687']

DOI: https://doi.org/10.3389/fams.2023.1096167