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Stoichiometry-dependent fear effect in a food chain model

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dc.contributor.authorWang, Tianxu
dc.contributor.authorWang, Hao
dc.date.accessioned2025-05-01T20:56:19Z
dc.date.available2025-05-01T20:56:19Z
dc.date.issued2024-06-01
dc.description**Abstract** *(description taken from this, pre-print version of the article)* Evidence shows that resource quality can determine the costs and benefits of fear effect on consumer dynamics. However, mechanistic modeling and analysis are lacking. This paper formulates a tri-trophic level food chain model that integrates both stoichiometric food quality and fear effect. We establish the well-posedness of the model and examine the existence and stability of equilibria. Through extensive numerical simulations, we validate our findings and visually explore the interactive effects of fear and food quality. Our results reveal that the fear effect from predators stabilizes the system. Furthermore, we demonstrate that the fear effect amplifies the influence of food quality on consumers. When food quality is favorable, the fear effect enhances consumer production efficiency, whereas, in the case of poor food quality, the fear effect exacerbates the decline in production efficiency caused by low-nutrient food.
dc.identifier.doihttps://doi.org/10.7939/r3-7knw-zk56
dc.language.isoen
dc.relationhttps://doi.org/10.1137/23M1581613
dc.relation.isversionofTianxu Wang, Hao Wang*, Stoichiometry-dependent fear effect in a food chain model, SIAM Journal on Applied Mathematics, 84: 783-807 (2024). https://doi.org/10.1137/23M1581613
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/
dc.subjectProducer-consumer-predator
dc.subjectFear effect
dc.subjectStoichiometric constraints
dc.subjectProduction efficiency
dc.subjectAsymptotic analysis
dc.titleStoichiometry-dependent fear effect in a food chain model
dc.typehttp://purl.org/coar/resource_type/c_6501 http://purl.org/coar/version/c_b1a7d7d4d402bcce http://purl.org/coar/version/c_71e4c1898caa6e32
ual.jupiterAccesshttp://terms.library.ualberta.ca/public

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