| Periodic Oscillations and Transient Dynamics Caused by Saturating Density-Dependent Benefits and Costs in Obligate Mutualisms | |
| Song, Xue-Meng; Zhang, Feng1; Liu, Yan-Ping; Song, Ming-Rui; Han, Jia-Xu; Wang, Rui-Wu | |
| 2025 | |
| Source Publication | BULLETIN OF MATHEMATICAL BIOLOGY
 |
| ISSN | 0092-8240 |
| Volume | 87Issue:11Pages:- |
| Abstract | It is generally recognized that oscillatory dynamics of mutualism systems arise from external factors such as environmental fluctuations and additional interspecific interactions. However, we here theoretically demonstrate that the saturating density dependence of mutualistic benefits and costs can lead to the periodic oscillations of obligate mutualism systems. This suggests that the dynamic complexity of mutualisms can also arise intrinsically. Our model differentiates benefits in mutualistic interactions from costs and assumes they respectively influence the reproduction rate and mortality of populations. In the symmetric case, where the model structure and parameters are the same for both species, this model shows multiple equilibria and oscillatory dynamics. The difference between benefit and cost may be the primary determinant of these phenomena. The system exhibits damped or periodic oscillations when this difference is intermediate. The two species can stably coexist when benefits significantly outweigh costs, whereas the system faces extinction when costs become relatively high. Asymmetry in benefit and cost between mutualists dramatically changes the system's dynamical regimes. Essentially, these oscillations of mutualism are caused by the transitions of the system between mutualism and antagonism. In addition, our model reveals the transient dynamics of the mutualism system (a phenomenon of regime shift without parameter change), including saddle crawl-bys (moving slowly by saddles) and ghost attractors (slow change in system state near the attractors). Our findings highlight the crucial role of nonlinear benefits and costs in the dynamical complexity of mutualisms. |
| Keyword | Oscillation Transient dynamics Mutualism Density dependence Nonmonotonic interaction Complexity |
| Subject Area | Biology ; Mathematical & Computational Biology |
| DOI | 10.1007/s11538-025-01531-0 |
| Indexed By | SCI |
| Language | 英语 |
| WOS ID | WOS:001586282800001 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | https://ir.xtbg.ac.cn/handle/353005/15602 |
| Collection | 2012年后新成立研究组 |
| Affiliation | 1.Northwestern Polytech Univ, Sch Math & Stat, Xian 710129, Peoples R China 2.Chinese Acad Sci, Yunnan Key Lab Forest Ecosyst Stabil & Global Chan, Xishuangbanna Trop Bot Garden, Mengla 666303, Yunnan, Peoples R China 3.Gansu Agr Univ, Coll Sci, Lanzhou 730070, Peoples R China 4.Northwestern Polytech Univ, Sch Mech Engn, Xian 710072, Peoples R China 5.Northwestern Polytech Univ, Sch Ecol & Environm, Xian 710129, Peoples R China 6.Zhejiang Univ, Coll Life Sci, Hangzhou 310058, Zhejiang, Peoples R China |
| Recommended Citation GB/T 7714 | Song, Xue-Meng,Zhang, Feng,Liu, Yan-Ping,et al. Periodic Oscillations and Transient Dynamics Caused by Saturating Density-Dependent Benefits and Costs in Obligate Mutualisms[J]. BULLETIN OF MATHEMATICAL BIOLOGY,2025,87(11):-. |
| APA | Song, Xue-Meng,Zhang, Feng,Liu, Yan-Ping,Song, Ming-Rui,Han, Jia-Xu,&Wang, Rui-Wu.(2025).Periodic Oscillations and Transient Dynamics Caused by Saturating Density-Dependent Benefits and Costs in Obligate Mutualisms.BULLETIN OF MATHEMATICAL BIOLOGY,87(11),-. |
| MLA | Song, Xue-Meng,et al."Periodic Oscillations and Transient Dynamics Caused by Saturating Density-Dependent Benefits and Costs in Obligate Mutualisms".BULLETIN OF MATHEMATICAL BIOLOGY 87.11(2025):-. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| Periodic Oscillation（2719KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment