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Updated: Nov 23, 2025

Mistletoe Eradicator - A Novel Tool for Simultaneous Mechanical and Chemical Control of Mistletoe
Published on: March 1, 2022
A heterogeneous parasitic-mutualistic model of mistletoes and birds on a periodically evolving domain
Jie Wang1, Jian Wang1, Jiafeng Cao1
1Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China.
Abstract:
In this paper, a parasitic-mutualistic model of mistletoes and birds defined in a heterogneous and periodically evolving domain is comprehensively investigated to reveal some new dynamical phenomena caused by the domain evolution. By establishing the core spatial-temporal risk index R0 and R0 for birds population and mistletoes-birds population, respectively, the fundamental extinction, persistence and coexistence behaviors are studied, and distinguished by such indexes. Moreover, the impact of domain evolution on the viability of mistletoes is examined as well, and it is concluded that the average expansion of the domain can enhance mistletoes' transmission capability, therefore, pro-mote the viability of mistletoes, and vice versa. Finally, numerical simulations are also exhibited for some specific cases to verify the theoretical conclusions.
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