{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,30]],"date-time":"2026-09-30T06:05:15Z","timestamp":1790748315213,"version":"4.1.0"},"reference-count":54,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2011,10,8]],"date-time":"2011-10-08T00:00:00Z","timestamp":1318032000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Math. Biol."],"published-print":{"date-parts":[[2012,9]]},"DOI":"10.1007\/s00285-011-0470-0","type":"journal-article","created":{"date-parts":[[2011,10,7]],"date-time":"2011-10-07T07:35:28Z","timestamp":1317972928000},"page":"521-552","source":"Crossref","is-referenced-by-count":12,"title":["Modeling the dynamics of woody plant\u2013herbivore interactions with age-dependent toxicity"],"prefix":"10.1007","volume":"65","author":[{"given":"Rongsong","family":"Liu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Stephen A.","family":"Gourley","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Donald L.","family":"DeAngelis","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"John P.","family":"Bryant","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2011,10,8]]},"reference":[{"key":"470_CR1","unstructured":"Bookhout TA (1965) The snowshoe hare in Upper Michigan and its biology and feeding coactions with white-tailed deer. Mich Dept Conserv Res Develop Rep No 38"},{"key":"470_CR2","first-page":"317","volume":"79","author":"R Boonstra","year":"1998","unstructured":"Boonstra R, Hik D, Singelton GR, Tinnikov A (1998a) The impact of predator induced stress on the snowshoe hare cycle. Ecol Monogr 79: 317\u2013394","journal-title":"Ecol Monogr"},{"key":"470_CR3","doi-asserted-by":"crossref","first-page":"1479","DOI":"10.1890\/0012-9658(1998)079[1479:PCISMT]2.0.CO;2","volume":"79","author":"R Boonstra","year":"1998","unstructured":"Boonstra R, Krebs CJ, Stenseth NC (1998b) Population cycles in small mammals: the problem of explaining the low phase. Ecology 79: 1479\u20131488","journal-title":"Ecology"},{"key":"470_CR4","unstructured":"Bryant JP (1981) The regulation of snowshoe hare feeding behavior during winter by plant antiherbivore chemistry. In: Meyers K (ed) Proc Int Lagomorph Conf, 1st, Guelph University, Canada, 1979, pp 720\u2013731"},{"key":"470_CR5","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1146\/annurev.es.11.110180.001401","volume":"11","author":"JP Bryant","year":"1980","unstructured":"Bryant JP, Kuropat P (1980) Subarctic browsing vertebrate winter forage selection: the role of plant chemistry. Annu Rev Ecol Syst 11: 261\u2013285","journal-title":"Annu Rev Ecol Syst"},{"key":"470_CR6","doi-asserted-by":"crossref","first-page":"1564","DOI":"10.2307\/1938018","volume":"66","author":"JP Bryant","year":"1985","unstructured":"Bryant JP, Wieland GD, Clausen TP, Kuropat P (1985) Interactions of snowshoe hares and feltleaf willow (Salix alaxensis) in Alaska. Ecology 66: 1564\u20131573","journal-title":"Ecology"},{"key":"470_CR7","unstructured":"Bryant JP, Danell K, Provenza FP, Reichardt PB, and Clausen TP (1991) Phytochemical Induction By Herbivores. In: Effects of mammal browsing upon the chemistry of deciduous woody plants. Wiley, New York, pp 135\u2013154"},{"key":"470_CR8","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1146\/annurev.es.22.110191.002243","volume":"22","author":"JP Bryant","year":"1991","unstructured":"Bryant JP, Provenza FD, Pastor J, Reichardt PB, Clausen TP, du Toit JT (1991b) Interactions between woody plants and browsing mammals mediated by secondary metabolites. Annu Rev Ecol Syst 22: 431\u2013446","journal-title":"Annu Rev Ecol Syst"},{"key":"470_CR9","unstructured":"Caughley G (1976) Plant-herbivore systems. W. B. Saunders and Company, Philadelphia, pp 71\u201393"},{"key":"470_CR10","doi-asserted-by":"crossref","first-page":"2117","DOI":"10.1007\/BF01020314","volume":"12","author":"TP Clausen","year":"1986","unstructured":"Clausen TP, Bryant JP, Reichardt PB (1986) Defense of winter-dormant green alder against snowshoe hares. J Chem Ecol 12: 2117\u20132131","journal-title":"J Chem Ecol"},{"key":"470_CR11","volume-title":"Medical toxicology","author":"RC Dart","year":"2004","unstructured":"Dart RC (2004) Medical toxicology. Lippincott, Williams and Willliams, Philadelphia"},{"key":"470_CR12","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1146\/annurev.ecolsys.36.102003.152617","volume":"36","author":"MD Dearing","year":"2005","unstructured":"Dearing MD, Foley WJ, McLean S (2005) The influence of plant secondary metabolites on the nutritional ecology of herbivorous terrestrial vertebrates. Annu Rev Ecol Evol Syst 36: 169\u2013189","journal-title":"Annu Rev Ecol Evol Syst"},{"key":"470_CR13","first-page":"1049","volume":"33","author":"JR Donaldson","year":"2006","unstructured":"Donaldson JR, Stevens MT, Barnhill HR, Lindroth RL (2006) Age related shifts in leaf chemistry of Clonal aspen (Populus tremuloides). J Chem Ecol 33: 1049\u20131064","journal-title":"J Chem Ecol"},{"key":"470_CR14","doi-asserted-by":"crossref","first-page":"929","DOI":"10.1139\/b66-106","volume":"44","author":"JR Dugle","year":"1966","unstructured":"Dugle JR (1966) A taxonomic study of western Canadian species in the genus betula. Can J Bot 44: 929\u20131007","journal-title":"Can J Bot"},{"key":"470_CR15","doi-asserted-by":"crossref","first-page":"449","DOI":"10.1016\/j.tpb.2007.12.004","volume":"73","author":"Z Feng","year":"2008","unstructured":"Feng Z, Liu R, DeAngelis DL (2008) Plant-herbivore interactions mediated by plant toxicity. Theor Popul Biol 73: 449\u2013459","journal-title":"Theor Popul Biol"},{"key":"470_CR16","doi-asserted-by":"crossref","first-page":"534","DOI":"10.1007\/s10021-009-9240-x","volume":"12","author":"Z Feng","year":"2009","unstructured":"Feng Z, Liu R, DeAngelis DL, Bryant JP, Kielland K, Chapin FS III, Swihart RK (2009) Plant toxicity, adaptive herbivory, and plant community dynamics. Ecosystems 12: 534\u2013547","journal-title":"Ecosystems"},{"key":"470_CR17","volume-title":"The population ecology of cycles in small mammals","author":"JP Finerty","year":"1980","unstructured":"Finerty JP (1980) The population ecology of cycles in small mammals. Yale University Press, New Haven"},{"key":"470_CR18","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1007\/BF00346252","volume":"31","author":"JF Fox","year":"1978","unstructured":"Fox JF (1978) Forest fires and the snowshoe hare\u2014Canada lynx cycle. Oecologia 31: 349\u2013374","journal-title":"Oecologia"},{"key":"470_CR19","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1007\/BF00379794","volume":"64","author":"JF Fox","year":"1984","unstructured":"Fox JF, Bryant JP (1984) Instability of the snowshoe hare and woody plant interaction. Oecologia 64: 128\u2013135","journal-title":"Oecologia"},{"key":"470_CR20","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-4698-0","volume-title":"Individual behavior and community dynamics","author":"JM Fryxell","year":"1998","unstructured":"Fryxell JM, Lundberg P (1998) Individual behavior and community dynamics. Chapman and Hall, New York"},{"key":"470_CR21","first-page":"110","volume":"4","author":"WB Grange","year":"1965","unstructured":"Grange WB (1965) Fire and tree growth relationships to snowshoe rabbits. Proc Tall Timbers Fire Ecol Conf 4: 110\u2013125","journal-title":"Proc Tall Timbers Fire Ecol Conf"},{"key":"470_CR22","doi-asserted-by":"crossref","first-page":"293","DOI":"10.4039\/Ent91293-5","volume":"91","author":"CS Holling","year":"1959","unstructured":"Holling CS (1959a) The components of predation as revealed by a study of small mammal predation on the European pine sawfly. Can Entomol 91: 293\u2013320","journal-title":"Can Entomol"},{"key":"470_CR23","doi-asserted-by":"crossref","first-page":"385","DOI":"10.4039\/Ent91385-7","volume":"91","author":"CS Holling","year":"1959","unstructured":"Holling CS (1959b) Some characteristics of simple types of predation and parasitism. Can Entomol 91: 385\u2013398","journal-title":"Can Entomol"},{"key":"470_CR24","volume-title":"Wildlife\u2019s ten-year cycle","author":"LB Keith","year":"1963","unstructured":"Keith LB (1963) Wildlife\u2019s ten-year cycle. The University of Wisconsin Press, Wisconsin"},{"key":"470_CR25","first-page":"1","volume":"58","author":"LB Keith","year":"1978","unstructured":"Keith LB, Windberg LA (1978) A demographic analysis of the snowshoe hare cycle. Wildl Monogr 58: 1\u201370","journal-title":"Wildl Monogr"},{"key":"470_CR26","volume-title":"Growth and development of trees, vol I","author":"TT Kozlowski","year":"1971","unstructured":"Kozlowski TT (1971) Growth and development of trees, vol I. Academic Press, New York"},{"key":"470_CR27","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1641\/0006-3568(2001)051[0025:WDTYCO]2.0.CO;2","volume":"51","author":"CJ Krebs","year":"2001","unstructured":"Krebs CJ, Boonstra R, Boutin S, Sinclair ARE (2001a) What drives the 10-year cycle of snowshoe hares?. BioScience 51: 25\u201335","journal-title":"BioScience"},{"key":"470_CR28","volume-title":"Ecosystem dynamics of the boreal forest: the Kluane project","year":"2001","unstructured":"Krebs, CJ, Boutin, S, Boonstra, R (eds) (2001b) Ecosystem dynamics of the boreal forest: the Kluane project. Oxford University Press, Oxford"},{"key":"470_CR29","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1093\/oso\/9780195133936.003.0006","volume-title":"Ecosystem dynamics of the boreal forest: the Kluane project","author":"CJ Krebs","year":"2001","unstructured":"Krebs CJ, Dale MRT, Nams VO, Sinclair ARE, O\u2019Donoghue M (2001) Shrubs. In: Krebs CJ, Boutin S, Boonstra R (eds) Ecosystem dynamics of the boreal forest: the Kluane project. Oxford University Press, Oxford, pp 92\u2013115"},{"issue":"4","key":"470_CR30","doi-asserted-by":"crossref","first-page":"1021","DOI":"10.1007\/s10884-006-9029-y","volume":"18","author":"Y Li","year":"2006","unstructured":"Li Y, Feng Z, Swihart R, Bryant J, Huntly N (2006) Modeling the impact of plant toxicity on plant-herbivore dynamics. J Dyn Differ Equ 18(4): 1021\u20131042","journal-title":"J Dyn Differ Equ"},{"issue":"2","key":"470_CR31","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1016\/j.jde.2007.10.034","volume":"245","author":"R Liu","year":"2008","unstructured":"Liu R, Feng Z, Zhu H, DeAngelis DL (2008) Bifurcation analysis of a plant-herbivore model with toxin-determined functional response. J Differ Equ 245(2): 442\u2013467","journal-title":"J Differ Equ"},{"key":"470_CR32","first-page":"1","volume":"65","author":"I Loladze","year":"2000","unstructured":"Loladze I, Kuang Y, Elser JJ (2000) Stoichiometry in producer-grazer systems: linking energy flow with element cycling. Bull Math Biol 65: 1\u201315","journal-title":"Bull Math Biol"},{"key":"470_CR33","volume-title":"Stability and complexity in model ecosystems","author":"RM May","year":"1974","unstructured":"May RM (1974) Stability and complexity in model ecosystems, 2nd edn. Princeton University Press, Princeton","edition":"2"},{"key":"470_CR34","first-page":"55","volume-title":"Herbivores, their interaction with secondary plant metabolites","author":"D McKey","year":"1979","unstructured":"McKey D (1979) The distribution of secondary compounds within plants. In: Rosenthal GA, Janzen DH (eds) Herbivores, their interaction with secondary plant metabolites. Academic Press, New York, pp 55\u2013133"},{"key":"470_CR35","doi-asserted-by":"crossref","first-page":"1213","DOI":"10.1007\/s10886-006-9081-4","volume":"32","author":"S McLean","year":"2006","unstructured":"McLean S, Duncan AJ (2006) Pharmacological perspectives on the detoxification of plant secondary metabolites: implications for ingestive behavior of herbivores. J Chem Ecol 32: 1213\u20131228","journal-title":"J Chem Ecol"},{"key":"470_CR36","doi-asserted-by":"crossref","first-page":"1252","DOI":"10.1007\/s10886-009-9702-9","volume":"35","author":"S McLean","year":"2009","unstructured":"McLean S, Richards SM, Cover SL, Brandon S, Davies NW, Bryant JP, Clausen TP (2009) Papyriferic acid, an antifeedant triterpene from birch trees, inhibits succinate dehydrogenase from liver mitochondria. J Chem Ecol 35: 1252\u20131261","journal-title":"J Chem Ecol"},{"key":"470_CR37","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1139\/b05-013","volume":"83","author":"MC Melnychuk","year":"2005","unstructured":"Melnychuk MC, Krebs CJ (2005) Residual effects of NPK fertilization on shrub growth in a Yukon boreal forest. Can J Bot 83: 399\u2013404","journal-title":"Can J Bot"},{"key":"470_CR38","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1093\/oxfordjournals.aob.a083846","volume":"106","author":"J Moorby","year":"1963","unstructured":"Moorby J, Waring PJ (1963) Aging in woody plants. Ann Bot 106: 291\u2013309","journal-title":"Ann Bot"},{"key":"470_CR39","doi-asserted-by":"crossref","first-page":"43","DOI":"10.2307\/3800634","volume":"43","author":"JL Pease","year":"1979","unstructured":"Pease JL, Vowles RH, Keith LB (1979) Interaction of snowshoe hares and woody vegetation. J Wildl Manag 43: 43\u201360","journal-title":"J Wildl Manag"},{"key":"470_CR40","unstructured":"Pehrson A (1981) Winter food consumption and digestibility in caged mountain hares. In: Meyers K (ed) Proc Int Lagomorph Conf, 1st, Guelph University, Canada, 1979, pp 732\u2013743"},{"key":"470_CR41","first-page":"395","volume":"6","author":"A Pehrson","year":"1983","unstructured":"Pehrson A (1983) Digestibility and retention of food components in caged mountain hares Lepus timidus in winter. Holarctic Ecol 6: 395\u2013403","journal-title":"Holarctic Ecol"},{"key":"470_CR42","doi-asserted-by":"crossref","first-page":"4576","DOI":"10.1021\/jo00335a054","volume":"46","author":"PB Reichardt","year":"1981","unstructured":"Reichardt PB (1981) Papyriferic acid: a triterpenoid from Alaskan paper birch. J Org Chem 46: 4576\u20134578","journal-title":"J Org Chem"},{"key":"470_CR43","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1007\/BF00384463","volume":"65","author":"PB Reichardt","year":"1984","unstructured":"Reichardt PB, Bryant JP, Clausen TP, Wieland GD (1984) Defense of winter-dormant Alaska paper birch against snowshoe hares. Oecologia 65: 58\u201369","journal-title":"Oecologia"},{"key":"470_CR44","doi-asserted-by":"crossref","first-page":"855","DOI":"10.1016\/S0031-9422(00)84806-2","volume":"26","author":"PB Reichardt","year":"1987","unstructured":"Reichardt PB, Green TP, Chang S (1987) 3-O-malonylbetulafolientriol oxide I from Betula nana subsp. exilis. Phytochemistry 26: 855\u2013856","journal-title":"Phytochemistry"},{"key":"470_CR45","doi-asserted-by":"crossref","first-page":"1961","DOI":"10.1007\/BF01020508","volume":"16","author":"PB Reichardt","year":"1990","unstructured":"Reichardt PB, Bryant JP, Anderson BJ, Phillips D, Clausen TP, Meyer M, Frisby K (1990a) Germacrone defends labrador tea from browsing by snowshoe hares. J Chem Ecol 16: 1961\u20131970","journal-title":"J Chem Ecol"},{"key":"470_CR46","doi-asserted-by":"crossref","first-page":"1941","DOI":"10.1007\/BF01020507","volume":"16","author":"PB Reichardt","year":"1990","unstructured":"Reichardt PB, Bryant JP, Mattes BR, Clausen TP, Chapin FS III, Meyer M (1990b) The winter chemical defense of balsam poplar against snowshoe hares. J Chem Ecol 16: 1941\u20131959","journal-title":"J Chem Ecol"},{"key":"470_CR47","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1080\/11956860.1997.11682391","volume":"4","author":"AR Rodgers","year":"1997","unstructured":"Rodgers AR, Sinclair ARE (1997) Diet choice and nutrition of captive snowshoe hares (Lepus americanus): interactions of energy, protein, and plant secondary compounds. Ecoscience 4: 163\u2013169","journal-title":"Ecoscience"},{"key":"470_CR48","doi-asserted-by":"crossref","first-page":"2983","DOI":"10.1890\/09-1108.1","volume":"91","author":"MJ Sherrif","year":"2010","unstructured":"Sherrif MJ, Krebs CJ, Boonstra R (2010) The ghosts of predators past: population cycles and the role of maternal programming under fluctuating predation risk. Ecology 91: 2983\u20132994","journal-title":"Ecology"},{"key":"470_CR49","doi-asserted-by":"crossref","first-page":"787","DOI":"10.2307\/5093","volume":"57","author":"ARE Sinclair","year":"1988","unstructured":"Sinclair ARE, Krebs CJ, Smith JNM, Boutin S (1988) Population biology of snowshoe hares. III. Nutrition, plant secondary compounds and food limitation. J Anim Ecol 57: 787\u2013806","journal-title":"J Anim Ecol"},{"key":"470_CR50","volume-title":"Monotone dynamical systems. An introduction to the theory of competitive and cooperative systems. Mathematical surveys and monographs, vol 41","author":"HL Smith","year":"1995","unstructured":"Smith HL (1995) Monotone dynamical systems. An introduction to the theory of competitive and cooperative systems. Mathematical surveys and monographs, vol 41. American Mathematical Society, Providence"},{"key":"470_CR51","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1007\/BF00196627","volume":"8","author":"HT Taipale","year":"1994","unstructured":"Taipale HT, H\u00e4rm\u00e4l\u00e4 L, Rousi M, Lapinjoki SP (1994) Histological and chemical comparison of triterpene and phenolic deterrent contents of juvenile shoots of Betula species. Trees 8: 232\u2013236","journal-title":"Trees"},{"key":"470_CR52","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1111\/j.1365-2435.2008.01523.x","volume":"23","author":"A-M Torregrossa","year":"2009","unstructured":"Torregrossa A-M, Dearing MD (2009) Nutritional toxicology of mammals: regulated intake of plant secondary compounds. Funct Ecol 23: 48\u201356","journal-title":"Funct Ecol"},{"key":"470_CR53","doi-asserted-by":"crossref","first-page":"333","DOI":"10.2307\/3237098","volume":"9","author":"R Turkington","year":"1998","unstructured":"Turkington R, John E, Krebs CJ, Dale MRT, Nams VO, Boonstra R, Boutin S, Martin K, Sinclair ARE, Smith JNM (1998) The effects of NPK fertilization for nine years on boreal forest vegetation in northwestern Canada. J Veg Sci 9: 333\u2013346","journal-title":"J Veg Sci"},{"key":"470_CR54","doi-asserted-by":"crossref","first-page":"2321","DOI":"10.1016\/0031-9422(92)83272-Z","volume":"31","author":"DE Williams","year":"1992","unstructured":"Williams DE, Sinclair ARE, Andersen RJ (1992) Triterpene constituents of the dwarf birch Betula glandulosa. Phytochemistry 31: 2321\u20132324","journal-title":"Phytochemistry"}],"container-title":["Journal of Mathematical Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00285-011-0470-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00285-011-0470-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00285-011-0470-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,13]],"date-time":"2024-04-13T10:49:57Z","timestamp":1713005397000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00285-011-0470-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,10,8]]},"references-count":54,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2012,9]]}},"alternative-id":["470"],"URL":"https:\/\/doi.org\/10.1007\/s00285-011-0470-0","relation":{},"ISSN":["0303-6812","1432-1416"],"issn-type":[{"value":"0303-6812","type":"print"},{"value":"1432-1416","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,10,8]]}}}