Journal ArticleDOI
A Stage-Structured Stochastic Model of Sterile Male Under Immigration
S. Bhattacharyya,S. Ghosh +1 more
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In this paper, a three-dimensional stage-structured model of the pest under the release of a sterile male has been considered, and the effect of this technique under immigration of wild insects in the control area was also considered.Abstract:
This study deals with control of pest population in agricultural ecosystem using sterile insect technique (SIT). A three-dimensional stage-structured model of the pest under the release of sterile male has been considered. This article also considers the effect of this technique under immigration of wild insects in the control area. Moreover, the deterministic model is extended to a stochastic one allowing random fluctuations around the positive interior equilibrium. The stochastic stability properties of the model are investigated, both analytically and numerically. The thresholds of sterile males that obtained from our study might be helpful to understand and implement the technique properly.read more
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A mathematical model for the removal of pollutants from the atmosphere through artificial rain
TL;DR: In this paper, the authors proposed and analyzed a nonlinear model to reduce the pollution from the atmosphere or polluted cities like the capital city Delhi of India, using artificial rain is a solution.
References
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Book
Numerical Solution of Stochastic Differential Equations
Peter E. Kloeden,Eckhard Platen +1 more
TL;DR: In this article, a time-discrete approximation of deterministic Differential Equations is proposed for the stochastic calculus, based on Strong Taylor Expansions and Strong Taylor Approximations.
Book
The ecological detective : confronting models with data
Ray Hilborn,Marc Mangel +1 more
TL;DR: In this paper, the authors present alternative views of the scientific method and of modeling, and present a scenario and tools of the ecological detective for finding the best fit in a set of working hypotheses.
Journal ArticleDOI
Noise and determinism in synchronized sheep dynamics
Bryan T. Grenfell,Kenneth Wilson,Bärbel Finkenstädt,Tim Coulson,S Murray,Steve D. Albon,Josephine M. Pemberton,Tim H. Clutton-Brock,Michael J. Crawley +8 more
TL;DR: A nonlinear time-series model shows that part of the required environmental synchronicity can be accounted for by large-scale weather variations and underline the importance of understanding the interaction between intrinsic and extrinsic influences on population dynamics.
Journal ArticleDOI
Sterile-male method of population control.
TL;DR: It is suggested that the sterile-male method may have practical application for undesirable populations of certain wild animals as well as for insects.