Exact(4)
This paper investigates the optimal impulsive management of pest growth model aiming at minimizing the amount of pests at the terminal time.
It is a better measure to control pest by cultivating natural enemies of the pests to destroy pests, but the delivery of natural enemies and use of pesticides are not regular, depending on the amount of pests.
In addition, simulations indicate that the optimization of governance policies may increase the periodic oscillation amplitude of populations, but ultimately it will reduce the amount of pests and lower the cost.
In biological control, we do not need to reduce the amount of pests to zero, but we usually control the indicator of the state of an illness under a certain indicator, and this cannot only boost the yields of crops, but also it has no negative influences on the environment.
Similar(56)
The predator response expands at a rate (frac{cxy}{1+omega x}), which is a saturating function of the amount of pest present.
A scale from 0 10 was used to determine amount of pest damage incurred on each plant, with 0 representing no damage and 10 representing complete destruction of the plant (i.e., the plant completely eaten).
The incidence rate is given by a function (beta x_{2}(t y(t)/(A+y(t))), and (u>0) is the release amount of infected pests which are bred in laboratories each time in order to drive target pests (susceptible pests) to catch an epidemic, or generate an endemic.
In order to get a minimum cost value, we try to choose the optimal time to hatch the pest egg population τ and release an amount of infected pests u.
Starting with the initial guesses (tau=2) and (u=3), we recover the optimal time to hatch the pest egg population (tau^= 4.999) and release amount of infected pests (u^= 0.196), as well as the corresponding optimal cost value (J^= 39.597).
The state delay τ and the release amount of infected pests u will be optimally selected to obtain the minimum pest level J at minimal cost in problem (23).
For (b>exp dT -1), the amount of mature pests can b>exp dT -1ed under the threshold vamounty=h).
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