Knowledge Resource Center for Ecological Environment in Arid Area
| DOI | 10.3389/fevo.2021.531833 |
| Stability Analysis of Delayed Age-Structured Resource-Consumer Model of Population Dynamics With Saturated Intake Rate | |
| Akimenko, Vitalii V. | |
| 通讯作者 | Akimenko, VV (corresponding author), Taras Shevchenko Natl Univ Kyiv, Fac Comp Sci & Cybernet, Kiev, Ukraine. |
| 来源期刊 | FRONTIERS IN ECOLOGY AND EVOLUTION
 |
| ISSN | 2296-701X |
| 出版年 | 2021 |
| 卷号 | 9 |
| 英文摘要 | This article studies nonlinear n-resource-consumer autonomous system with age-structured consumer population. The model of consumer population dynamics is described by a delayed transport equation, and the dynamics of resource patches are described by ODE with saturated intake rate. The delay models the digestion period of generalist consumer and is included in the calorie intake rate, which impacts the consumer's fertility and mortality. Saturated intake rate models the inhibition effect from the behavioral change of the resource patches when they react to the consumer population growing or from the crowding effect of the consumer. The conditions for the existence of trivial, semi-trivial, and non-trivial equilibria and their local asymptotic stability were obtained. The local asymptotic stability/instability of non-trivial equilibrium of a system with depleted patches is defined by new derived criteria, which relate the demographic characteristics of consumers with their search rate, growth rate of resource in patches, and behavioral change of the food resource when consumer population grows. The digestion period of a generalist consumer does not cause local asymptotical instabilities of consumer population at the semi-trivial and nontrivial equilibria. These theoretical results may be used in the study of metapopulation dynamics, desert locust populations dynamics, prey-predator interactions in fisheries, etc. The paper uses numerical experiments to confirm and illustrate all dynamical regimes of the n-resource-consumer population. |
| 英文关键词 | age-structured model saturated intake rate stability analysis digestion period resource-consumer model |
| 类型 | Article |
| 语种 | 英语 |
| 开放获取类型 | Green Submitted, gold |
| 收录类别 | SCI-E |
| WOS记录号 | WOS:000625157600001 |
| WOS类目 | Ecology |
| WOS研究方向 | Environmental Sciences & Ecology |
| 资源类型 | 期刊论文 |
| 条目标识符 | http://119.78.100.177/qdio/handle/2XILL650/350289 |
| 作者单位 | [Akimenko, Vitalii V.] Taras Shevchenko Natl Univ Kyiv, Fac Comp Sci & Cybernet, Kiev, Ukraine |
| 推荐引用方式 GB/T 7714 | Akimenko, Vitalii V.. Stability Analysis of Delayed Age-Structured Resource-Consumer Model of Population Dynamics With Saturated Intake Rate[J],2021,9. |
| APA | Akimenko, Vitalii V..(2021).Stability Analysis of Delayed Age-Structured Resource-Consumer Model of Population Dynamics With Saturated Intake Rate.FRONTIERS IN ECOLOGY AND EVOLUTION,9. |
| MLA | Akimenko, Vitalii V.."Stability Analysis of Delayed Age-Structured Resource-Consumer Model of Population Dynamics With Saturated Intake Rate".FRONTIERS IN ECOLOGY AND EVOLUTION 9(2021). |
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