Ghosh S, Bhattacharyya S
Department of Pure Mathematics, University of Calcutta, 35, B. C. Road, Calcutta 700019, India.
J Theor Biol. 2007 Jul 7;247(1):50-63. doi: 10.1016/j.jtbi.2007.02.009. Epub 2007 Feb 28.
The interrelationship of the host-virus-environment is of critical importance in determining the amount of virus production per insect and its consequences in the overall infection process in insect community. Lower temperature inhibits the virus replication and thus infection does not persist into the system. On the other hand, virus production per insect increases with temperature increase within certain limit, and this increase of virus production brings some unforeseen consequences in the infection dynamics in pest control. We deal the problem by applying non-vulnerability concept on the mathematical model of viral infection that linked up with the temperature-viral developmental model. Using Lyapunov-like function, we determine a range of temperature and show that the system would become endemic and remain in stable situation if temperature could be maintained in this prescribed range, whereas that range depends on other parameters of the system.
宿主 - 病毒 - 环境之间的相互关系对于确定每只昆虫产生的病毒量及其在昆虫群落整体感染过程中的后果至关重要。较低的温度会抑制病毒复制，因此感染不会在系统中持续存在。另一方面，在一定限度内，每只昆虫产生的病毒量会随着温度升高而增加，而这种病毒产生量的增加在害虫控制的感染动态中带来了一些意想不到的后果。我们通过将非易感性概念应用于与温度 - 病毒发育模型相关联的病毒感染数学模型来处理这个问题。使用类李雅普诺夫函数，我们确定了一个温度范围，并表明如果温度能够保持在这个规定范围内，系统将成为地方病并保持稳定状态，而该范围取决于系统的其他参数。
