两株生态流行病系统:强制互惠的情况
Two-strain ecoepidemic systems: the obligated mutualism case
摘要:
我们提出了一个有义务互惠协会,其中两种传染病被允许感染一个人口的模型。由于一般模型证明太难充分解析研究,一些特殊情况下进行了分析。在我们的研究结果中,在模型假设下,两种菌株的共存似乎是不可能的。此外,在特别不利的情况下,生态系统可能会消失。在这方面,使用新的技术提供了一个精确的计算的盆地的吸引力的起源。对于这种义务互惠系统,疾病的存在似乎比生态流行病学中的许多其他情况(包括兼性共生协会的情况)更不相关。
英文摘要:
We present a model for obligated mutualistic associations, in which two transmissible diseases are allowed to infect just one population. As the general model proves too hard to be fully analytically investigated, some special cases are analysed. Among our findings, the coexistence of the two strains does not appear possible, under the model assumptions. Furthermore, in particularly unfavorable circumstances the ecosystem may disappear. In this respect, an accurate computation of the basin of attraction of the origin is provided using novel techniques. For this obligated mutualistic system the presence of the diseases appears to be less relevant than in many other circumstances in ecoepidemiology, including also the case of facultative symbiotic associations.
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