School of Mathematics, University of Birmingham, Birmingham, UK.
Bull Math Biol. 2024 May 22;86(7):78. doi: 10.1007/s11538-024-01302-3.
Understanding the propagation of invasive plants at the beginning of invasive spread is important as it can help practitioners eradicate harmful species more efficiently. In our work the propagation regime of the invasive plant species is studied at the short-time scale before a travelling wave is established and advances into space at a constant speed. The integro-difference framework has been employed to deal with a stage-structured population, and a short-distance dispersal mode has been considered in the homogeneous environment and when a road presents in the landscape. It is explained in the paper how nonlinear spatio-temporal dynamics arise in a transient regime where the propagation speed depends on the detection threshold population density. Furthermore, we investigate the question of whether the transient dynamics become different when the homogeneous landscape is transformed into the heterogeneous one. It is shown in the paper how invasion slows down in a transient regime in the presence of a road.
了解入侵植物在入侵初期的传播机制非常重要，因为这有助于从业者更有效地消灭有害物种。在我们的工作中，研究了入侵植物物种在建立传播波之前的短时间尺度内的繁殖机制，该波以恒定速度在空间中前进。积分差分框架已被用于处理具有阶段结构的种群，并且在均匀环境中和当道路出现在景观中时，已经考虑了短距离扩散模式。本文解释了在传播速度取决于检测阈值种群密度的瞬态 regime 中如何产生非线性时空动力学。此外，我们还研究了在均匀景观转变为非均匀景观时瞬态动力学是否会发生变化的问题。本文表明，在存在道路的情况下，瞬态 regime 中的入侵速度会减慢。
