Kang Yun, Sasmal Sourav Kumar, Bhowmick Amiya Ranjan, Chattopadhyay Joydev
a Science and Mathematics Faculty, College of Letters & Sciences , Arizona State University , Mesa , AZ 85212 , USA.
J Biol Dyn. 2015;9 Suppl 1:213-32. doi: 10.1080/17513758.2014.972473. Epub 2014 Oct 23.
Allee effects and parasitism are common biological phenomena observed in nature, which are believed to have significant impacts in ecological conservation programmes. In this article, we investigate population dynamics of a discrete-time host-parasitoid system with component Allee effects induced by predation satiation in host to study the synergy effects of Allee effects and parasitism. Our model assumes that parasitism attacks the host after the density dependence of the host. The interactions of component Allee effects and parasitism can lead to extremely rich dynamics that include but are not limited to extinction of both species due to Allee effects at their low population density, multiple attractors, strange interior attractors and even crisis of strange attractor due to high parasitism. We perform local and global analysis to study the number of equilibria and their stability; and study the extinction and permanence of our host-parasitoid system. One of the most interesting results shows that the combination of strong Allee effects and parasitism may promote the coexistence of both host and parasite at their high population density. In addition, component Allee effects may destroy interior equilibrium under different values of parameters' ranges.
阿利效应和寄生现象是自然界中常见的生物现象，据信它们在生态保护计划中具有重大影响。在本文中，我们研究了一个具有由宿主捕食饱和引起的成分阿利效应的离散时间宿主-寄生系统的种群动态，以研究阿利效应和寄生现象的协同效应。我们的模型假设寄生在宿主的密度依赖之后攻击宿主。成分阿利效应和寄生现象的相互作用会导致极其丰富的动态，包括但不限于由于低种群密度下的阿利效应导致两个物种灭绝、多个吸引子、奇怪的内部吸引子，甚至由于高寄生率导致奇怪吸引子的危机。我们进行局部和全局分析以研究平衡点的数量及其稳定性；并研究我们的宿主-寄生系统的灭绝和持久性。最有趣的结果之一表明，强烈的阿利效应和寄生现象的结合可能会促进宿主和寄生虫在高种群密度下的共存。此外，成分阿利效应可能会在不同参数范围值下破坏内部平衡。
