An impulsive ratio-dependent predator-prey system with diffusion

Date

2006-12-01

Author

Akhmet, Marat
Beklioğlu, Meryem

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

116
views

0
downloads

We investigate the predator-prey system with diffusion, when biological and environmental parameters are assumed to change in periodical manner over time. The system is affected by impulses which can be considered as a control. Conditions for the permanence of the predator-prey system and for the existence of a unique globally stable periodic solutions are obtained.

Subject Keywords

Predator-Prey System With Diffusion, Functional Response, Permanence, Periodic Solutions, Stability

URI

https://hdl.handle.net/11511/42481

Journal

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

DOI

https://doi.org/10.1016/j.nonrwa.2005.11.007

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

A DFT study on the [VO](1+)-ZSM-5 cluster: direct methanol oxidation to formaldehyde by N2O FELLAH, MEHMET FERDİ; Önal, Işık (2013-01-01) The mechanism of direct oxidation of methanol to formaldehyde by N2O has been theoretically investigated by means of density functional theory over an extra framework species in ZSM-5 zeolite represented by a [(SiH3)(4)AlO4](1) [V-O](1+) cluster model. The catalytic reactivity of these species is compared with that of mononuclear (Fe-O)(1+) sites in ZSM-5 investigated in our earlier work at the same level of theory (J. Catal. 2011, 282, 191). The [V-O](1+) site in ZSM-5 zeolite shows an enhanced catalytic a...
The deactivation behavior of the TiO2 used as a photo-catalyst for benzene oxidation Üner, Deniz (1999-01-01) In this study, the deactivation behavior of TiO2 as a photocatalyst for benzene decomposition to carbon dioxide and water was investigated. The effect of space time on the benzene and carbon dioxide conversions were monitored. Benzene conversion and carbon dioxide production rates were not correlated, indicating accumulation of a carbon containing intermediate on the surface. This intermediate was blocking the active sites at a stiochiometry of 1 C:1 site. High space times favored the production of carbon d...
An ab initio surface study of FeTi for hydrogen storage applications Izanlou, Afshin; Aydınol, Mehmet Kadri; Department of Metallurgical and Materials Engineering (2009) In this study, the effect of surface crystallography on hydrogen molecule adsorption properties on FeTi surfaces is presented. Furthermore, the substitutional adsorption of 3d-transition metals on (001), (110) and (111) surfaces of FeTi is studied. Using ab initio pseudopotential methods, the adsorption energies of hydrogen and 3d-transition metals are calculated. In substitutional adsorption of 3d-transition metals, Fe-terminated (111) and Ti-terminated (001) surfaces, are found to express the lowest adsor...
Two dimensional numerical prediction of deflagration-to-detonation transition in porous energetic materials Narin, B.; Özyörük, Yusuf; Ulaş, Abdullah (2014-05-30) This paper describes a two-dimensional code developed for analyzing two-phase deflagration-to-detonation transition (DDT) phenomenon in granular, energetic, solid, explosive ingredients. The two-dimensional model is constructed in full two-phase, and based on a highly coupled system of partial differential equations involving basic flow conservation equations and some constitutive relations borrowed from some one-dimensional studies that appeared in open literature. The whole system is solved using an optim...
An adaptive fully discontinuous Galerkin level set method for incompressible multiphase flows KARAKUS, Ali; WARBURTON, Tim; AKSEL, MEHMET HALUK; Sert, Cüneyt (Emerald, 2018-01-01) Purpose This study aims to focus on the development of a high-order discontinuous Galerkin method for the solution of unsteady, incompressible, multiphase flows with level set interface formulation.

Citation Formats

M. Akhmet and M. Beklioğlu, “An impulsive ratio-dependent predator-prey system with diffusion,” NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, pp. 1255–1267, 2006, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/42481.