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1.  Department of Mathematics and Statistics, Texas Tech University, Lubbock, Texas 794091042, United States, United States 
References:
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D. J. Aldous, Stochastic models and descriptive statistics for phylogenetic trees from Yule to today, Statistical Science, 16 (2001), 2334. doi: 10.1214/ss/998929474. 
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E. J. Allen, "Modeling with Itô Stochastic Differential Equations," Springer, Dordrecht, 2007. 
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E. J. Allen, L. J. S. Allen, A. Arciniega and P. E. Greenwood, Construction of equivalent stochastic differential equation models, Stochastic Analysis and Applications, 26 (2008), 274297. doi: 10.1080/07362990701857129. 
[4] 
L. J. S. Allen, "An Introduction to Stochastic Processes with Applications to Biology," 2nd edition, CRC Press, Florida, 2011. 
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T. C. Gard, "Introduction to Stochastic Differential Equations," Marcel Dekker, New York, 1988. 
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D. T. Gillespie, Exact stochastic simulation of coupled chemical reactions, The Journal of Physical Chemistry, 81 (1977), 23402361. doi: 10.1021/j100540a008. 
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P. E. Kloeden and E. Platen, "Numerical Solution of Stochastic Differential Equations," SpringerVerlag, New York, 1992. 
[8] 
P. E. Kloeden, E. Platen and H. Schurz, "Numerical Solution of SDE Through Computer Experiments," SpringerVerlag, Berlin, 1994. doi: 10.1007/9783642579134. 
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T. G. Kurtz, Limit theorems for sequences of jump Markov processes approximating ordinary differential equations, The Journal of Applied Probability, 8 (1971), 344356. doi: 10.2307/3211904. 
[10] 
P. Langevin, Sur la Théorie du mouvement brownien, Comptesrendus de l'Académie des Sciences, 146 (1908), 530533. 
[11] 
C. Semple and M. A. Steel, "Phylogenetics," Oxford University Press, Oxford, 2003. 
[12] 
G. U. Yule, A mathematical theory of evolution, based on the conclusions of Dr. J. C. Willis, Philosophical Transactions of the Royal Society of London. Series B, 213 (1925), 2187. doi: 10.1098/rstb.1925.0002. 
show all references
References:
[1] 
D. J. Aldous, Stochastic models and descriptive statistics for phylogenetic trees from Yule to today, Statistical Science, 16 (2001), 2334. doi: 10.1214/ss/998929474. 
[2] 
E. J. Allen, "Modeling with Itô Stochastic Differential Equations," Springer, Dordrecht, 2007. 
[3] 
E. J. Allen, L. J. S. Allen, A. Arciniega and P. E. Greenwood, Construction of equivalent stochastic differential equation models, Stochastic Analysis and Applications, 26 (2008), 274297. doi: 10.1080/07362990701857129. 
[4] 
L. J. S. Allen, "An Introduction to Stochastic Processes with Applications to Biology," 2nd edition, CRC Press, Florida, 2011. 
[5] 
T. C. Gard, "Introduction to Stochastic Differential Equations," Marcel Dekker, New York, 1988. 
[6] 
D. T. Gillespie, Exact stochastic simulation of coupled chemical reactions, The Journal of Physical Chemistry, 81 (1977), 23402361. doi: 10.1021/j100540a008. 
[7] 
P. E. Kloeden and E. Platen, "Numerical Solution of Stochastic Differential Equations," SpringerVerlag, New York, 1992. 
[8] 
P. E. Kloeden, E. Platen and H. Schurz, "Numerical Solution of SDE Through Computer Experiments," SpringerVerlag, Berlin, 1994. doi: 10.1007/9783642579134. 
[9] 
T. G. Kurtz, Limit theorems for sequences of jump Markov processes approximating ordinary differential equations, The Journal of Applied Probability, 8 (1971), 344356. doi: 10.2307/3211904. 
[10] 
P. Langevin, Sur la Théorie du mouvement brownien, Comptesrendus de l'Académie des Sciences, 146 (1908), 530533. 
[11] 
C. Semple and M. A. Steel, "Phylogenetics," Oxford University Press, Oxford, 2003. 
[12] 
G. U. Yule, A mathematical theory of evolution, based on the conclusions of Dr. J. C. Willis, Philosophical Transactions of the Royal Society of London. Series B, 213 (1925), 2187. doi: 10.1098/rstb.1925.0002. 
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