Department of Mathematics, Centre for Mathematical Biology and Ecology, Jadavpur University, Kolkata, 700032, India.
Translational Health Science and Technology Institute, NCR Biotech Science Cluster, Faridabad, 121001, India.
Bull Math Biol. 2021 Aug 26;83(10):100. doi: 10.1007/s11538-021-00930-3.
A simple model on volatile organic compound (VOC)-mediated plant-insect interactions is proposed and examined here, when two different classes of herbivorous insects competing for a common resource (plant) in the presence of a specialist carnivorous enemy, which only predates one of the herbivore species. We, particularly, emphasize the impact of VOCs on plant's growth fitness. The system experiences several local and global bifurcations with emergent alternative states for variations in recruitment factors and predation rate. Basin transitions and basin of attractions have provided detail descriptions on the selectivity of the alternative states, when only one of the herbivore species can survive depending on the choice of initial population densities of the interacting species and how it provides a steady growth in plant. Additionally, our results support the concept of competitive exclusion principle in an indirect interspecific competition between the two herbivore types for the common resource, plant.
这里提出并检验了一个关于挥发性有机化合物(VOC)介导的植物-昆虫相互作用的简单模型,当两种不同类别的草食性昆虫在有专门肉食性天敌存在的情况下为一种共同资源(植物)竞争时,而这种肉食性天敌只捕食其中一种草食性昆虫。我们特别强调了 VOC 对植物生长适应性的影响。该系统经历了多次局部和全局分岔,在招募因素和捕食率的变化下出现了替代状态。盆地跃迁和吸引盆地为替代状态的选择性提供了详细描述,当只有一种草食性昆虫可以生存时,取决于相互作用物种的初始种群密度的选择以及它如何为植物提供稳定的生长。此外,我们的结果支持了竞争排斥原理的概念,即在两种草食性昆虫类型对共同资源植物的间接种间竞争中。