Xu Jinhu
School of Sciences, Xi'an University of Technology, Xi'an, People's Republic of China.
J Biol Dyn. 2023 Dec;17(1):2189026. doi: 10.1080/17513758.2023.2189026.
In this paper, we investigated a new heroin-cocaine epidemic model which incorporates spatial heterogeneity and nonlinear incidence rate. The main project of this paper is to explore the threshold dynamics in terms of the basic reproduction number , which was defined by applying the next-generation operator. The threshold type results shown that if , then the drug-free steady state is globally asymptotically stable. If , then heroin-cocaine spread is uniformly persistent. Furthermore, the globally asymptotic stability of the drug-free steady state has been established for the critical case of by analysing the local asymptotic stability and global attractivity.
在本文中，我们研究了一个新的海洛因 - 可卡因流行模型，该模型纳入了空间异质性和非线性发病率。本文的主要课题是根据基本再生数探索阈值动态，基本再生数是通过应用下一代算子定义的。阈值类型结果表明，如果 ，那么无毒品稳态是全局渐近稳定的。如果 ，那么海洛因 - 可卡因的传播是一致持续的。此外，通过分析局部渐近稳定性和全局吸引性，已经建立了在临界情况 下无毒品稳态的全局渐近稳定性。
