Chaotic predation scheme for age-clustered one predator-one prey Lotka-Volterra

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F18%3A50014732" target="_blank" >RIV/62690094:18450/18:50014732 - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1007/s11071-018-4071-y" target="_blank" >https://link.springer.com/article/10.1007/s11071-018-4071-y</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s11071-018-4071-y" target="_blank" >10.1007/s11071-018-4071-y</a>

Result language

angličtina

Original language name

Chaotic predation scheme for age-clustered one predator-one prey Lotka-Volterra

Original language description

Lotka-Volterra differential equations deal with modeling of predator and prey populations and interrelation of population sizes in a continuous domain. Since all populations, be they predators or prays, are only the estimates in consequence of sampling process, this paper initially concerns with discretization schemes of one predator-prey Lotka-Volterra systems. Second-order Runge-Kutta approximation is used to discretize the original differential equations for flexibility to manipulate the system parameters. Subsequent to discretization, a novel predation scheme is introduced to enhance the rationalization of original model with age cluster-based and detailed rules which are based on reproductivity, predation ability, predation essentiality, food provision and consumption. Aging is also simulated with transitive structure of the algorithms that the alive individuals are getting older and changing clusters after the predation scheme is operated. Experiments revealed that our model exhibits not only fluctuations like the original model but also stable trajectories and fractal structure depending on the model parameters. Therefore, the main novelty of this paper briefly is the discovery of chaotic one predator-one prey system exhibiting chaotic behavior for a narrow interval and revealing a strange attractor which is very unique.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Nonlinear dynamics

ISSN

0924-090X

e-ISSN

—

Volume of the periodical

92

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

12

Pages from-to

499-510

UT code for WoS article

000428445700026

EID of the result in the Scopus database

2-s2.0-85040776827