Effect of temperature on viral infection and its control: a mathematical approach

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.