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Bifurcation Chaos"],"published-print":{"date-parts":[[2024,6,15]]},"abstract":"<jats:p> The rarity of species increases its market price, consequently leading to the overexploitation of the species and even the extinction of the species. We study how the harvest intensity and the additive Allee effect impact on the Gordon\u2013Schaefer model. In addition, by Sotomayor\u2019s theorem and Poincar\u00e9\u2013Andronov theorem, we prove the existence of Hopf bifurcation, saddle-node bifurcation and transcritical bifurcation, respectively. Finally, we illustrate our results by numerical simulations. We find that both the cost per unit of harvest and the additive Allee effect have a significant impact on human exploitation of the population. As the additive Allee effect reduces to the weak Allee effect, the lower harvest cost encourages humans to increase the exploitation of species. This threshold is a switch that controls the strong Allee effect. If it exceeds its threshold, then the motivation of humans to exploit the species increases. <\/jats:p>","DOI":"10.1142\/s0218127424500822","type":"journal-article","created":{"date-parts":[[2024,6,7]],"date-time":"2024-06-07T09:00:50Z","timestamp":1717750850000},"source":"Crossref","is-referenced-by-count":0,"title":["Stability and Bifurcation of a Gordon\u2013Schaefer Model with Additive Allee Effect"],"prefix":"10.1142","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-7923-9665","authenticated-orcid":false,"given":"Simin","family":"Liao","sequence":"first","affiliation":[{"name":"School of Mathematics, Zhejiang Normal University, 321004 Jinhua, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2209-2458","authenticated-orcid":false,"given":"Yongli","family":"Song","sequence":"additional","affiliation":[{"name":"School of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 311121, P. R. 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