MODELLING THE MULTITEAM PREY–PREDATOR DYNAMICS USING THE DELAY DIFFERENTIAL EQUATION

نویسندگان

چکیده

In nature, many species form teams and move in herds from one place to another. This helps them reducing the risk of predation. Time delay caused by age structure, maturation period, feeding time is a major factor real-time prey–predator dynamics that result periodic solutions bifurcation phenomenon. study analysed behaviour teamed-up prey populations against predation using mathematical model. The following variables were considered: population Pr1, Pr2, predator Pr3. interior equilibrium point was calculated. A local satiability analysis performed ensure feasible equilibrium. effect parameter on examined. Hopf noted when crossed critical value. Direction centre manifold theorem. graphs analytical results plotted MATLAB.

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

A Fuzzy Delay Differential Equation Model for HIV Dynamics

This paper presents a process to obtain the solution (or flux) of a fuzzy delay system and to determine the fuzzy expected curve for the HIV (human immunodeficiency virus) when HIV-positive individuals receive antiretroviral therapy. This delay is defined as the time between the infection of a CD4+ type T-lymphocyte cell by the virus and the production of new virus particles. The intracellular ...

متن کامل

Periodic solutions of fourth-order delay differential equation

In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$  is investigated. Some new positive periodic criteria are given.  

متن کامل

The dynamics of the HIV infection: a time-delay differential equation approach

In this work we introduce a differential equation model with time-delay that describes the three-stage dynamics and the two time scales observed in HIV infection. Assuming that the virus has high mutation and rapid reproduction rates that stress the immune system throughout the successive activation of new responses to new undetectable strains, the delay term describes the time interval necessa...

متن کامل

THE SPINLESS SALPETER EQUATION AND MESON DYNAMICS

Applying the variational method, the spinless reduced Bethe-Salpeter (RBS) equation is solved for the mesonic systems, and the mass spectra are obtained. The method is applied to the Hamiltonian with the Gaussian and hydrogen-type trial wave functions, and different potential models are examined. The results for the different potentials are in challenge in light mesons, while they are consisten...

متن کامل

the use of appropriate madm model for ranking the vendors of mci equipments using fuzzy approach

abstract nowadays, the science of decision making has been paid to more attention due to the complexity of the problems of suppliers selection. as known, one of the efficient tools in economic and human resources development is the extension of communication networks in developing countries. so, the proper selection of suppliers of tc equipments is of concern very much. in this study, a ...

15 صفحه اول

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: Malaysian Journal of Science. Series B, Physical & Earth Sciences

سال: 2023

ISSN: ['1394-3065', '2600-8688']

DOI: https://doi.org/10.22452/mjs.vol42no1.5