Hethcote Herbert W, Wang Wendi, Han Litao, Ma Zhien
Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242, USA.
Theor Popul Biol. 2004 Nov;66(3):259-68. doi: 10.1016/j.tpb.2004.06.010.
A predator-prey model with logistic growth in the prey is modified to include an SIS parasitic infection in the prey with infected prey being more vulnerable to predation. Thresholds are identified which determine when the predator population survives and when the disease remains endemic. For some parameter values the greater vulnerability of the infected prey allows the predator population to persist, when it would otherwise become extinct. Also the predation on the more vulnerable prey can cause the disease to die out, when it would remain endemic without the predators.
一个具有猎物逻辑增长的捕食者 - 猎物模型被修改，以纳入猎物中的SIS寄生虫感染，且受感染的猎物更容易被捕食。确定了阈值，这些阈值决定了捕食者种群何时存活以及疾病何时保持地方性流行。对于某些参数值，受感染猎物更大的易感性使得捕食者种群得以持续存在，否则它会灭绝。而且，对更易受攻击的猎物的捕食会导致疾病灭绝，否则在没有捕食者的情况下疾病会保持地方性流行。
