Exact(7)
(A3) A susceptible vector can be infected only by an infected plant host, and after it is infected, it will hold the virus for the rest of its life.
(A1) For an insect vector population, the total population is divided into two categories, X and Y, which denote the densities of the susceptible vector and infective vector at time t, respectively.
These trees radiate oleoresin that performs as a natural barrier to beetle oviposition, infected host pine tree (I_{h}) at time t that have stopped exduating oleoresin, susceptible vector beetles (S_{v}) at time t that do not have pinewood nematode, and the infected vector beetles (I_{v}) at time t that carry pinewood nematode.
In propagation processes of the epidemic via a vector (such as the mosquito), when a susceptible vector is infected by an infected one, there is a delay τ during which the infectious agents develop in the vector and the infected vector becomes itself infectious after the delay.
The number of susceptible vectors that become infected by biting infectious hosts is linearly related to the size of the susceptible vector population.
The vector population is divided in two subclasses, susceptible vector S v (t) and I v (t).
Similar(53)
Figure 2 shows the number of susceptible vectors, exposed vectors, and infectious vectors from the optimality system without control and optimality system with control.
Especially, one can see that the larger transmission rates from infected vectors to susceptible individuals (gamma_{1}) or from infected individuals to susceptible vectors (gamma_{2}), the better the simulations accord with the mean-field predictions.
Vectors of all classes die at constant rate μv and are replaced with susceptible vectors.
The local host-vector transmission rate is determined by the absolute number of susceptible vectors in that patch and the proportion of the visiting host population that is infectious.
In the susceptible area, no difference was observed between resistant and susceptible vectors collected.
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