Computing Science and Mathematics, University of Stirling, Stirling, Scotland, UK.
J Theor Biol. 2012 Feb 21;295:154-67. doi: 10.1016/j.jtbi.2011.11.015. Epub 2011 Dec 1.
Ecosystems are under increasing threat as a result of anthropogenic activity, through pollution, unregulated harvesting, habitat destruction and the inadvertent spread of pathogens and vertebrate and non-vertebrate species through global transportation links. Many of the necessary interventions to restore or restructure natural ecosystems require the exclusion of a population from the ecosystem or the inclusion of a population if robust biodiversity is the objective. The problem of how best to bring this about is not easy to solve in highly nonlinear systems, especially if the system is exposed to significant time varying external forces. We wish here to build on the understanding gained from previous work by developing an algebraic methodology that yields explicit formulae to analyse the effect of moderate multi-component forcing on the invasion/exclusion process. This can be of assistance to management in designing suitable intervention strategies if one or more of the forcing components is under management control. We apply this methodology to look at three important issues, involving the relationships between resonance and control, between vaccination policy and the stage structure of a disease and between apparent competition and coexistence.
由于人为活动的影响，生态系统正受到越来越多的威胁，包括污染、无管制的开采、栖息地破坏以及病原体以及脊椎动物和无脊椎动物通过全球运输联系的意外传播。为了恢复或重构自然生态系统，许多必要的干预措施都需要将种群排除在生态系统之外，或者如果目标是稳健的生物多样性，则需要将种群纳入其中。在高度非线性系统中，如何最好地实现这一目标并非易事，尤其是当系统受到重大时变外部力量的影响时。我们希望在此基础上，通过开发一种代数方法来进一步研究，该方法提供了明确的公式来分析中等多分量强迫对入侵/排斥过程的影响。如果一个或多个强迫分量受到管理控制，这可以帮助管理部门设计合适的干预策略。我们将这种方法应用于三个重要问题，包括共振和控制之间的关系、疫苗接种政策和疾病阶段结构之间的关系以及显式竞争和共存之间的关系。
