An individual, stochastic model of growth incorporating state-dependent risk and random foraging and climate
We model the effects of both stochastic and deterministic temperature variations on arthropod predator-prey systems. Specifically, we study the stochastic dynamics of arthropod predator-prey interactions under a varying temperature regime, and we develop an individual model of a prey under pressure...
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| Format: | Article |
| Language: | English |
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AIMS Press
2006-10-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.67 |
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| author | William Wolesensky J. David Logan |
| author_facet | William Wolesensky J. David Logan |
| author_sort | William Wolesensky |
| collection | DOAJ |
| description | We model the effects of both stochastic and deterministic temperature variations on arthropod predator-prey systems. Specifically, we study the stochastic dynamics of arthropod predator-prey interactions under a varying temperature regime, and we develop an individual model of a prey under pressure from a predator, with vigilance (or foraging effort), search rates, attack rates, and other predation parameters dependent on daily temperature variations. Simulations suggest that an increase in the daily average temperature may benefit both predator and prey. Furthermore, simulations show that anti-predator behavior may indeed decrease predation but at the expense of reduced prey survivorship because of a greater increase in other types of mortality. |
| format | Article |
| id | doaj-art-4a093ce864ef4845aba20e4838d04a14 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2006-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-4a093ce864ef4845aba20e4838d04a142025-01-24T01:52:54ZengAIMS PressMathematical Biosciences and Engineering1551-00182006-10-0141678410.3934/mbe.2007.4.67An individual, stochastic model of growth incorporating state-dependent risk and random foraging and climateWilliam Wolesensky0J. David Logan1Program in Mathematics, College of St. Mary, Omaha, NE 68134Program in Mathematics, College of St. Mary, Omaha, NE 68134We model the effects of both stochastic and deterministic temperature variations on arthropod predator-prey systems. Specifically, we study the stochastic dynamics of arthropod predator-prey interactions under a varying temperature regime, and we develop an individual model of a prey under pressure from a predator, with vigilance (or foraging effort), search rates, attack rates, and other predation parameters dependent on daily temperature variations. Simulations suggest that an increase in the daily average temperature may benefit both predator and prey. Furthermore, simulations show that anti-predator behavior may indeed decrease predation but at the expense of reduced prey survivorship because of a greater increase in other types of mortality.https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.67vigilancetemperaturegrasshoppers.foragingnutritional statestochastic |
| spellingShingle | William Wolesensky J. David Logan An individual, stochastic model of growth incorporating state-dependent risk and random foraging and climate Mathematical Biosciences and Engineering vigilance temperature grasshoppers. foraging nutritional state stochastic |
| title | An individual, stochastic model of growth incorporating state-dependent risk and random foraging and climate |
| title_full | An individual, stochastic model of growth incorporating state-dependent risk and random foraging and climate |
| title_fullStr | An individual, stochastic model of growth incorporating state-dependent risk and random foraging and climate |
| title_full_unstemmed | An individual, stochastic model of growth incorporating state-dependent risk and random foraging and climate |
| title_short | An individual, stochastic model of growth incorporating state-dependent risk and random foraging and climate |
| title_sort | individual stochastic model of growth incorporating state dependent risk and random foraging and climate |
| topic | vigilance temperature grasshoppers. foraging nutritional state stochastic |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.67 |
| work_keys_str_mv | AT williamwolesensky anindividualstochasticmodelofgrowthincorporatingstatedependentriskandrandomforagingandclimate AT jdavidlogan anindividualstochasticmodelofgrowthincorporatingstatedependentriskandrandomforagingandclimate AT williamwolesensky individualstochasticmodelofgrowthincorporatingstatedependentriskandrandomforagingandclimate AT jdavidlogan individualstochasticmodelofgrowthincorporatingstatedependentriskandrandomforagingandclimate |