The Frontiers of Society, Science and Technology, 2020, 2(1); doi: 10.25236/FSST.2020.020103.
Hui Yu*
College of Science, Heilongjiang Bayi Agricultural University, Daqing 163319, China.
*Corresponding Author :[email protected]
Based on the differential equation model of the influence of environmental toxins on biological population, the objective random interference factors of Brownian motion simulation are introduced, and the objective delay factors are simulated by using the delay term, so as to construct the stochastic delay differential equation model of the influence of toxins in industrial emissions on human beings, and prove the existence of the global positive solution of the model, thus proving the established model Type A has certain theoretical feasibility.
Brownian motion; delay; Industrial emissions
Hui Yu. Construction and analysis of the stochastic model of the influence of industrial emissions on human. The Frontiers of Society, Science and Technology (2020) Vol. 2 Issue 1: 30-34. https://doi.org/10.25236/FSST.2020.020103.
[1] T.G. Hallam, C.E. Clark and G.S. Jordon(1983). Effects of toxicants on populations: a qualitative approach II. first order kinetics. Journal of Mathematical Biology, vol.18, no.1 p.25–37.
[2] B. Dubey and J. Husain(2000). Modelling the interaction of two biological species in a polluted environment. Journal of Mathematical Analysis and Applications, vol. 246, no.2, p.58-79.
[3] B. Dubey and B. Dass (1999). Model for survival of species dependent on Resource in industrial environments. Journal of Mathematical Analysis and Applications, vol.231, no.2, p.374–396.
[4] J. Pan, Z. Jinand Z. Ma(2000). Thresholds of survival for an n-dimensional volterra mutualistic system in a polluted environment. Journal of Mathematical Analysis and Applications. vol.252, no.2, p.519–531.
[5] X. Yu(2013). The analysis on affecting factors of haze weather and prevention. Advances in Enviromental Protection, no.3, p.34-37.
[6]K. Wang(2010), Mathematical model of stochastic biological system, Beijing: Science Press.
[7] G.A. Bocharov and F.A. Rihan(2000). Numerical modelling in biosciences using delay differential equations, Journal of Computational and Applied Mathematics, vol.125, no.1, p.183-199.
[8] Y.J. Zhang, B. Liu and L.S. Chen (2003). Extinction and permanence of a two-prey one-predator system with impulsive effect. Mathematical Medicine and Biology, vol.20, no.4 p.309-325.