Bifurcation and hydra effect of a plant-herbivore model with herbivore harvesting

Bifurcation and hydra effect of a plant-herbivore model with herbivore harvesting | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 14 February 2026 V1 Latest version Share on Bifurcation and hydra effect of a plant-herbivore model with herbivore harvesting Authors : Guangming Qiu 0000-0002-6982-5890 [email protected] and Chunrong Xue Authors Info & Affiliations https://doi.org/10.22541/au.177107054.41853022/v1 122 views 59 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract Adaptive management of herbivore populations during grassland plant degradation serves as a critical strategy for sustaining ecosystem stability. To address this imperative, establishing a mechanistic grassland resourceherbivore model that incorporates herbivore harvesting and rigorously evaluating harvesting’s impact on system stability holds significant ecological and practical relevance. This study develops a continuous-time plant-herbivore model with an explicit herbivore harvesting term. We first conduct a comprehensive dynamical analysis, characterizing the existence and local stability of the system’s boundary equilibria and interior equilibrium point. This analysis yields precise threshold conditions governing ecosystem stability versus collapse. Subsequently, by designating the herbivore harvesting rate as the primary bifurcation parameter, we demonstrate that the model exhibits rich nonlinear dynamics, including bistability (coexistence of alternative stable states), Hopf bifurcation and the hydra effect (paradoxical increase in herbivore abundance with increased harvesting mortality). Numerical simulations further validated the theoretical analysis. Supplementary Material File (bifurcation_and_hydra_effect_of_a_plant-herbivore_model_with_herbivore_harvesting.pdf) Download 4.18 MB Information & Authors Information Version history V1 Version 1 14 February 2026 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords bistability hopf bifurcation hydra effect plant-herbivore model Authors Affiliations Guangming Qiu 0000-0002-6982-5890 [email protected] Weinan Normal University View all articles by this author Chunrong Xue Weinan Normal University View all articles by this author Metrics & Citations Metrics Article Usage 122 views 59 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Guangming Qiu, Chunrong Xue. Bifurcation and hydra effect of a plant-herbivore model with herbivore harvesting. Authorea . 14 February 2026. DOI: https://doi.org/10.22541/au.177107054.41853022/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu . 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