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

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Abstract

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.

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Authors and Affiliations

  1. Engineering Cluster, Singapore Institute of Technology, 10 Dover Drive, Singapore, 138683, Singapore

    Jin Ming Koh & Kang Hao Cheong

  2. Department of Mechanical Engineering, Anhui University of Technology, Ma’anshan, 243002, Anhui, China

    Neng-gang Xie

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  1. Jin Ming Koh
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  2. Neng-gang Xie
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Correspondence to Kang Hao Cheong.

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Koh, J.M., Xie, Ng. & Cheong, K.H. Nomadic-colonial switching with stochastic noise: subsidence-recovery cycles and long-term growth. Nonlinear Dyn 94, 1467–1477 (2018). https://doi.org/10.1007/s11071-018-4436-2

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