dorsal/arxiv
View SchemaNoise in an insect outbreak model
| Authors | Bao-Quan Ai, Wei Chen, Xian-Ju Wang, Guo-Tao Liu, De-Hua Wen, Hui-Zhang Xie, Liang-Gang Liu |
|---|---|
| Categories | |
| ArXiv ID | physics/0306177 |
| URL | https://arxiv.org/abs/physics/0306177 |
| Journal | Chin. J. Phys. 40(2003)4 |
Abstract
We study the steady state properties of an insect (spruce budworm) outbreak model in the presence of Gaussian white noise. Based on the corresponding Fokker-Planck equation the steady state solution of the probability distribution function and its extrema have been investigated. It was found that fluctuations of the insect birth rate reduces the population of the insects while fluctuations of predation rate and the noise correlation can prevent the population of the insects from going into extinction. Noise in the model can induce a phase transition.
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"abstract": "We study the steady state properties of an insect (spruce budworm) outbreak\nmodel in the presence of Gaussian white noise. Based on the corresponding\nFokker-Planck equation the steady state solution of the probability\ndistribution function and its extrema have been investigated. It was found that\nfluctuations of the insect birth rate reduces the population of the insects\nwhile fluctuations of predation rate and the noise correlation can prevent the\npopulation of the insects from going into extinction. Noise in the model can\ninduce a phase transition.",
"arxiv_id": "physics/0306177",
"authors": [
"Bao-Quan Ai",
"Wei Chen",
"Xian-Ju Wang",
"Guo-Tao Liu",
"De-Hua Wen",
"Hui-Zhang Xie",
"Liang-Gang Liu"
],
"categories": [
"physics.bio-ph",
"q-bio"
],
"journal_ref": "Chin. J. Phys. 40(2003)4",
"title": "Noise in an insect outbreak model",
"url": "https://arxiv.org/abs/physics/0306177"
},
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