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  • 标题:On a new eco-epidemiological model for migratory birds with modified Leslie-Gower functional schemes
  • 本地全文:下载
  • 作者:Kuangang Fan ; Yan Zhang ; Shujing Gao
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:97
  • DOI:10.1186/s13662-016-0825-3
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Migratory birds are critical to the prevalence of many epidemic diseases. In this paper, a new two species eco-epidemiological model with disease in the migratory prey is formulated. A modified Leslie-Gower functional scheme, with saturated incidence and recovery rate are considered in this new model. Through theoretical analysis, a series of conditions are established to ensure the extinction, permanence of the disease, and to keep the system globally attractive. It was observed that if the lower threshold value R ∗ > 1 $R_{*}>1$ , the infective population of the periodic system is permanent, whereas if the upper threshold value R ∗ ≤ 1 $R^{*}\leq1$ , then the disease will go to extinction. Our results also show that predation could be a good choice to control disease and enhance permanence.
  • 关键词:migratory birds ; Leslie-Gower functional response ; saturated incidence and recovery rate
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