Kim Yong-Jung, Kwon Ohsang
National Institute for Mathematical Sciences, 70 Yuseong-daero 1689 beon-gil, Yuseong-gu, Daejeon, 34047, Korea.
Department of Mathematical Sciences, KAIST, 291 Daehak-ro, Yuseong-gu, Daejeon, 305-701, Korea.
Bull Math Biol. 2016 Feb;78(2):254-79. doi: 10.1007/s11538-016-0142-8. Epub 2016 Jan 27.
Many biological species increase their dispersal rate if starvation starts. To model such a behavior, we need to understand how organisms measure starvation and response to it. In this paper, we compare three different ways of measuring starvation by applying them to starvation-driven diffusion. The evolutional selection and coexistence of such starvation measures are studied within the context of Lotka-Volterra-type competition model of two species. We will see that, if species have different starvation measures and different motility functions, both the coexistence and selection are possible.
如果开始面临饥饿,许多生物物种会提高其扩散速率。为了对这种行为进行建模,我们需要了解生物体如何衡量饥饿并对其做出反应。在本文中,我们通过将三种不同的衡量饥饿的方法应用于饥饿驱动的扩散来进行比较。在两个物种的Lotka-Volterra型竞争模型的背景下研究了这些饥饿衡量方法的进化选择和共存情况。我们将会看到,如果物种具有不同的饥饿衡量方法和不同的运动功能,共存和选择都是可能的。