Nomadic-colonial switching with stochastic noise: subsidence-recovery cycles and long-term growth

In this paper, we analyze a population model comprising organisms that alternate between nomadic and colonial behaviours by considering stochastic noise. Incorporating stochastic noise into the population dynamics will allow a wide range of environmental fluctuations to be modelled. The theoretical...

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Bibliographic Details
Published in:Nonlinear dynamics 2018-10, Vol.94 (2), p.1467-1477
Main Authors: Koh, Jin Ming, Xie, Neng-gang, Cheong, Kang Hao
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Depletion
Dynamical Systems
Engineering
Mechanical Engineering
Noise
Original Paper
Recovery
Subsidence
Switching
Variations
Vibration
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Summary:In this paper, we analyze a population model comprising organisms that alternate between nomadic and colonial behaviours by considering stochastic noise. Incorporating stochastic noise into the population dynamics will allow a wide range of environmental fluctuations to be modelled. The theoretical framework is also generalized to include resource depletion by both nomadic and colonial sub-populations, and an ecologically realistic population size-dependent switching scheme is now proposed. We demonstrate the robustness of the present model to stochastic noise, and the use of novel generalized pure time-based switching schemes to achieve consecutive subsidence-recovery cycles and long-term proliferation. Our results are of relevance to many physical and biological systems.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-018-4436-2