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   . 2015 Aug 7:378:39-46.
   doi: 10.1016/j.jtbi.2015.04.012. Epub 2015 Apr 29.

Numerical responses in resource-based mutualisms: A time scale approach

   [39]Tomás A Revilla^ [40] 1
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     * ^1 Biology Center AS CR, Institute of Entomology, Branisovská 31, 370 05
       Ceské Budejovice, Czech Republic. Electronic address: tomrevilla@gmail.com.

     * PMID: 25936757
     * DOI: [41]10.1016/j.jtbi.2015.04.012

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Numerical responses in resource-based mutualisms: A time scale approach

   Tomás A Revilla. J Theor Biol. 2015.
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   . 2015 Aug 7:378:39-46.
   doi: 10.1016/j.jtbi.2015.04.012. Epub 2015 Apr 29.

Author

   [45]Tomás A Revilla^ [46] 1

Affiliation

     * ^1 Biology Center AS CR, Institute of Entomology, Branisovská 31, 370 05
       Ceské Budejovice, Czech Republic. Electronic address: tomrevilla@gmail.com.

     * PMID: 25936757
     * DOI: [47]10.1016/j.jtbi.2015.04.012

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Abstract

   Many mutualisms involve inter-specific resource exchanges, making
   consumer-resource approaches ideal for studying their dynamics. Also in many
   cases these resources are short lived (e.g. flowers) compared with the population
   dynamics of their producers and consumers (e.g. plants and insects), which
   justifies a separation of time scales. As a result, we can derive the numerical
   response of one species with respect to the abundance of another. For resource
   consumers, the numerical responses can account for intra-specific competition for
   mutualistic resources (e.g. nectar), thus connecting competition theory and
   mutualism mechanistically. For species that depend on services (e.g. pollination,
   seed dispersal), the numerical responses display saturation of benefits, with
   service handling times related with rates of resource production (e.g. flower
   turnover time). In both scenarios, competition and saturation have the same
   underlying cause, which is that resource production occurs at a finite velocity
   per individual, but their consumption tracks the much faster rates of population
   growth characterizing mutualisms. The resulting models display all the basic
   features seen in many models of facultative and obligate mutualisms, and they can
   be generalized from species pairs to larger communities.

   Keywords: Functional and numerical response; Mutualism; Resources; Services;
   Steady-state.

   Copyright © 2015 Elsevier Ltd. All rights reserved.

   [48]PubMed Disclaimer

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  22. https://pubmed.ncbi.nlm.nih.gov/25936757/
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  27. https://pubmed.ncbi.nlm.nih.gov/25936757/
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  29. https://pubmed.ncbi.nlm.nih.gov/25936757/#heading
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  36. https://pubmed.ncbi.nlm.nih.gov/?term=%22J+Theor+Biol%22%5Bjour%5D&sort=date&sort_order=desc
  37. https://www.ncbi.nlm.nih.gov/nlmcatalog?term=%22J+Theor+Biol%22%5BTitle+Abbreviation%5D
  38. https://pubmed.ncbi.nlm.nih.gov/25936757/
  39. https://pubmed.ncbi.nlm.nih.gov/?term=Revilla+TA&cauthor_id=25936757
  40. https://pubmed.ncbi.nlm.nih.gov/25936757/#full-view-affiliation-1
  41. https://doi.org/10.1016/j.jtbi.2015.04.012
  42. https://pubmed.ncbi.nlm.nih.gov/?term=%22J+Theor+Biol%22%5Bjour%5D&sort=date&sort_order=desc
  43. https://www.ncbi.nlm.nih.gov/nlmcatalog?term=%22J+Theor+Biol%22%5BTitle+Abbreviation%5D
  44. https://pubmed.ncbi.nlm.nih.gov/25936757/
  45. https://pubmed.ncbi.nlm.nih.gov/?term=Revilla+TA&cauthor_id=25936757
  46. https://pubmed.ncbi.nlm.nih.gov/25936757/#short-view-affiliation-1
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  50. https://pubmed.ncbi.nlm.nih.gov/23890160/
  51. https://pubmed.ncbi.nlm.nih.gov/25811088/
  52. https://pubmed.ncbi.nlm.nih.gov/22583047/
  53. https://pubmed.ncbi.nlm.nih.gov/31243858/
  54. https://pubmed.ncbi.nlm.nih.gov/35003630/
  55. https://pubmed.ncbi.nlm.nih.gov/34001894/
  56. https://pubmed.ncbi.nlm.nih.gov/30182272/
  57. https://pubmed.ncbi.nlm.nih.gov/27505254/
  58. https://pubmed.ncbi.nlm.nih.gov/?term=%22Research+Support%2C+Non-U.S.+Gov%27t%22%5Bpt%5D&sort=date&sort_order=desc
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  65. https://www.ncbi.nlm.nih.gov/mesh?term=Ecosystem
  66. https://pubmed.ncbi.nlm.nih.gov/25936757/
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  71. https://www.ncbi.nlm.nih.gov/mesh?term=Pollination
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  77. https://www.ncbi.nlm.nih.gov/mesh?term=Seed+Dispersal
  78. https://pubmed.ncbi.nlm.nih.gov/25936757/
  79. https://pubmed.ncbi.nlm.nih.gov/?term=%22Symbiosis%22%5BMAJR%5D&sort=date&sort_order=desc
  80. https://www.ncbi.nlm.nih.gov/mesh?term=Symbiosis
  81. https://pubmed.ncbi.nlm.nih.gov/25936757/
  82. https://linkinghub.elsevier.com/retrieve/pii/S0022-5193(15)00174-5
  83. https://antibodies.cancer.gov/detail/CPTC-HLA-B-1
  84. https://linkinghub.elsevier.com/retrieve/pii/S0022-5193(15)00174-5
  85. https://pubmed.ncbi.nlm.nih.gov/25936757/
  86. https://pubmed.ncbi.nlm.nih.gov/25936757/
  87. https://pubmed.ncbi.nlm.nih.gov/25936757/
  88. https://account.ncbi.nlm.nih.gov/?back_url=https%3A%2F%2Fpubmed.ncbi.nlm.nih.gov%2F25936757%2F%23open-bibliography-panel
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  90. https://pubmed.ncbi.nlm.nih.gov/25936757/
  91. https://www.ncbi.nlm.nih.gov/mesh/
  92. https://www.ncbi.nlm.nih.gov/pmc/
  93. https://www.ncbi.nlm.nih.gov/books
  94. https://pubmed.ncbi.nlm.nih.gov/disclaimer/
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  98. https://www.nih.gov/institutes-nih/nih-office-director/office-communications-public-liaison/freedom-information-act-office
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