Faculty of Science, Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, Brno 61137, Czech Republic.
Department of Ecology, Czech Academy of Sciences, Biology Centre, Institute of Entomology, Branišovská 31, České Budějovice 37005, Czech Republic; Faculty of Science, Institute of Mathematics and Biomathematics, University of South Bohemia, Branišovská 1760, České Budějovice 37005, Czech Republic.
J Theor Biol. 2018 Aug 7;450:76-85. doi: 10.1016/j.jtbi.2018.04.017. Epub 2018 Apr 11.
Infectious diseases are known to regulate population dynamics, an observation that underlies the use of pathogens as control agents of unwanted populations. Sterilizing rather than lethal pathogens are often suggested so as to avoid unnecessary suffering of the infected hosts. Until recently, models used to assess plausibility of pathogens as potential pest control agents have not included a possibility that reduced fecundity of the infected individuals may save their energy expenditure on reproduction and thus increase their longevity relative to the susceptible ones. Here, we develop a model of host-pathogen interaction that builds on this idea. We analyze the model for a variety of infection transmission functions, revealing that the indirect effect of sterilizing pathogens on mortality of the infected hosts, mediated by a fecundity-longevity trade-off, may cause hosts at endemic equilibria to attain densities higher than when there is no effect of pathogens on host mortality. On the other hand, an opposite outcome occurs when the fecundity-longevity trade-off is concave or when the degree of fecundity reduction by the pathogen is high enough. This points to a possibility that using sterilizing pathogens as agents of pest control may actually be less effective than previously thought, the more so since we also suggest that if sexual selection acts on the host species then the presence of sterilizing pathogens may even enhance host densities above the levels achieved without infection.
传染病已知可以调节种群动态,这一观察结果是将病原体作为控制不受欢迎种群的手段的基础。通常建议使用绝育而不是致死性的病原体,以避免感染宿主不必要的痛苦。直到最近,用于评估病原体作为潜在害虫控制剂的可能性的模型都没有考虑到这样一种可能性,即感染个体的繁殖能力降低可能会节省其繁殖过程中的能量消耗,从而使它们的寿命相对于易感个体的寿命延长。在这里,我们开发了一个基于这一想法的宿主-病原体相互作用模型。我们分析了各种感染传播函数的模型,揭示了绝育病原体通过繁殖力-寿命权衡对感染宿主死亡率的间接影响,可能导致在地方病平衡状态下的宿主达到比没有病原体对宿主死亡率影响时更高的密度。另一方面,如果繁殖力-寿命权衡是凹的,或者病原体的繁殖力降低程度足够高,则会出现相反的结果。这表明,使用绝育病原体作为害虫控制剂的效果可能不如之前认为的那么有效,尤其是因为我们还建议,如果性选择作用于宿主物种,那么存在绝育病原体甚至可能会使宿主密度高于没有感染时的水平。