ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Mustafin A. T. Synchronous oscillations of two populations of different species linked via interspecific interference competition. Izvestiya VUZ. Applied Nonlinear Dynamics, 2015, vol. 23, iss. 4, pp. 3-23. DOI: 10.18500/0869-6632-2015-23-4-3-23

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
574.34
DOI: 
10.18500/0869-6632-2015-23-4-3-23

Synchronous oscillations of two populations of different species linked via interspecific interference competition

Autors: 
Mustafin Almaz Tlemisovich, Kazakh national research technical University
Abstract: 

A model for competition of two different species is considered. It is assumed that each consumer specializes on one resource only. The resource uptake rates are held constant.The basic feature of the model is that the dynamics of the resource is much slower than that of the consumer.The two consumers are coupled through direct reciprocal inhibition. Besides, self-limitation of the consumers due to overcrowding is also taken into account. The resources are noninteractive. When uncoupled, each population is completely nonoscillatory.The application of multiple-scale analysis yields that strong competition leads to bistability and hysteresis in the system, while weak coupling results in synchronous antiphase relaxation oscillations of the populations.   

Key words: 
Consumer-resource
predator-prey
competition
relaxation oscillations
synchronization
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Received: 
04.06.2015
Accepted: 
04.06.2015
Published: 
31.03.2016
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