Strong convergence of the split-stepθ-method for stochastic age-dependent population equations

2014 ◽  
Vol 38 (11) ◽  
pp. 2291-2304
Author(s):  
Jianguo Tan ◽  
Hongli Wang ◽  
Yongfeng Guo
2014 ◽  
Vol 2014 ◽  
pp. 1-14
Author(s):  
Jianguo Tan ◽  
A. Rathinasamy ◽  
Hongli Wang ◽  
Yongfeng Guo

We develop a new split-stepθ(SSθ) method for stochastic age-dependent capital system with random jump magnitudes. The main aim of this paper is to investigate the convergence of the SSθmethod for a class of stochastic age-dependent capital system with random jump magnitudes. It is proved that the proposed method is convergent with strong order 1/2 under given conditions. Finally, an example is simulated to verify the results obtained from theory.


Author(s):  
Gladys Harrison

With the advent of the space age and the need to determine the requirements for a space cabin atmosphere, oxygen effects came into increased importance, even though these effects have been the subject of continuous research for many years. In fact, Priestly initiated oxygen research when in 1775 he published his results of isolating oxygen and described the effects of breathing it on himself and two mice, the only creatures to have had the “privilege” of breathing this “pure air”.Early studies had demonstrated the central nervous system effects at pressures above one atmosphere. Light microscopy revealed extensive damage to the lungs at one atmosphere. These changes which included perivascular and peribronchial edema, focal hemorrhage, rupture of the alveolar septa, and widespread edema, resulted in death of the animal in less than one week. The severity of the symptoms differed between species and was age dependent, with young animals being more resistant.


2007 ◽  
Vol 177 (4S) ◽  
pp. 411-412
Author(s):  
Javier Miller ◽  
Angela Smith ◽  
Kris Gunn ◽  
Erik Kouba ◽  
Eric M. Wallen ◽  
...  

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