Journal ArticleDOI
A new approach to pest management problem
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In this paper, the effect of pesticides on the pest affecting a paddy field and also on fishes living in the soil water was analyzed by control theoretic means to determine the threshold limits of pesticide to be used.Abstract:
The paper deals with the effect of pesticide on the pest affecting a paddy field and also on the fishes living in the soil water. An objective function is formed in terms of projected loss of individual fish, the projected profit of killing a pest and the cost of spraying insecticide for a finite time period. Next the corresponding pest management model is formed by considering the growth equations of paddy, pest, and fish of the soil water. The model is analyzed by control theoretic means to determine the threshold limits of pesticide to be used. Lastly, the optimal value of pesticide is obtained. It is shown that the optimal value lies within the threshold limits. Finally corresponding to this optimal threshold value of pesticide, the optimal values of the biomass of paddy and that of the fish of the soil water are also obtained. The results are finally verified numerically by special choice of parameters compatible with the model.read more
Citations
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Journal ArticleDOI
An improved integrated pest management model under 2-control parameters (sterile male and pesticide).
TL;DR: It is shown that restricted and proper use of control measures might enhance the crop production of the system in an economically viable way and the vulnerability of the underlined ecosystem due to the effect of temperature on the pest growth.
Journal ArticleDOI
Microbial pest control: a mathematical model
Sweta Pathak,Alakes Maiti +1 more
TL;DR: A mathematical model for microbial control of pests is formulated and the dynamical characteristics of the system are studied and biological implications have been discussed.
Journal ArticleDOI
A more realistic approach to pest-management problem.
TL;DR: The optimal analysis of the model under two control parameters, one is the spraying of pesticide and other is the release of predators; such optimal analysis under multi-control parameters is completely new of its kind.
Journal ArticleDOI
Oscillation in Pest Population and Its Management: A Mathematical Study
TL;DR: By the Hopf bifurcation theory, the existence of the stable oscillation of the system is proved and the improved version of PMP is applied to perform the optimal analysis of the pest control model as a special case.
Journal ArticleDOI
Optimal control problem of a replicator system on differentiable manifold with boundary
Arnab Gupta,D. K. Bhattacharya +1 more
TL;DR: The paper discusses constrained optimal control problem of the functional on a replicator system with restrictions in the domain of definition on the objective functional, in the sense that the domain is an open manifold with boundary where the boundary is a differentiable variety.
References
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Journal ArticleDOI
Optimal Control of a Prey-Predator System*
TL;DR: The use of optimal control theory is used to obtain optimal strategies for the control of a prey-predator system and it is feasible to control a pest by means of an insecticide that destroys only the predators but leaves the pests unharmed.
Journal ArticleDOI
Pest Management Programs via Optimal Control Theory
TL;DR: In this paper, the influence of human control is added to a known model for a prey-predator system, and the optimal control for this system subject to selective insecticide control, general insecticide and biological control is then determined for a cost function dependent upoIn both crop damage and economic costs of control.
Journal ArticleDOI
Bionomic equilibrium of two-species system. I.
D.K. Bhattacharya,S. Begum +1 more
TL;DR: It is proven that for the first type of feasible point, if the cost per unit effort is kept under proper threshold values, then corresponding to each such value, the maximum value of the efforts exerted can be calculated in terms of the given parameters only.
Journal ArticleDOI
Optimal Direct Control Programs for a Prey-Predator System
Journal ArticleDOI
Control targets for the management of biological systems
TL;DR: In this article, the problem of minimizing a cost integral on an infinite time interval is avoided by minimizing an average of the cost function over an unknown but periodic time interval, where the control inputs are chosen so that an integral cost function of the state of the system, the control used, current time, and the time interval of the control program is minimized.
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