ณิชาภัทร พัฒนะรพีเลิศ และ กลศ พัฒนะรพีเลิศ, แบบจำลองทางคณิตศาสตร์กับการควบคุมทางชีวภาพของแมลงศัตรูพืช Mathematical modeling with biological pest control, วารสารวิทยาศาสตร์ประยุกต์, (13)2: 100-106 (2014)
กลศ พัฒนะรพีเลิศ และ ณิชาภัทร บุญก่อเกื้อ, แนวคิดทางคณิตศาสตร์ในระบาดวิทยาเชิงทฤษฎี Mathematical concept in the theoretical epidemiology, วารสารวิทยาศาสตร์ประยุกต์, (10)2: 62-67 (2011)
ผลงานวิจัย (Proceedings)
U. Srip Sriphanomwan, N. Boonkorkuea, K. Patanarapeelert, A mathematical model of coral bleaching subject to the fluctuation of sea surface temperature, AMM 2012, April 26–27, 2012
K. Patanarapeelert, Effect of human mobility on an epidemic threshold. Chiangmai University International Conference 2011, Vol. 1, No. 1 (2010) 62-71.
I-Ming Tang and K. Patanarapeelert, Effect of time delay on the transmission of dengue fever, Proceedings of the 2nd IMT-GT 2006 Regional Conference on Mathematics, Statistics and Applications: Volumn II.
Research Articles
N. Patanarapeelert, K. Patanarapeelert, Forecasting number of students in University department: Modeling approach, Open Journal of Applied Sciences, Vol. 3 (4), (2013), 293-297.
K. Patanarapeelert, D.G. Lopez, I-M Tang, M.A. Dubios, Theoretical investigation of the impact on epidemic threshold of travel between communities of resident populations, J. Biol. Syst., 21, 1350010 (2013)
S. Puangsun, K. Patanarapeelert, An SIR epidemic model with gravity in patchy environment: Analyses for two patches system, KMLTL Sci. Tech. J. Vol.12 No.2 Jul.-Dec. 2012.
K. Patanarapeelert, T.D. Frank, I-M Tang. From a cellular automaton model of tumor-immune interactions to its macroscopic dynamical equation: A drift-diffusion data analysis approach. Math Comput Model 2011 Jan;53(1-2):122-30.
T.D. Frank, K. Patanarapeelert and P.J. Beek, Portfolio theory of optimal isometric force production: Variability predictions and nonequilibrium fluctuation-dissipation theorem, Phys. Lett. A. 372 (2008), pp. 3562-3568.
K. Patanarapeelert, T. D. Frank, P. J. Beek, R. Friedrich and I. Ming Tang, A data analysis method for identifying deterministic components of stable and unstable time-delayed systems with colored noise, Phys. Lett. A, 360(2006), pp. 190-198.
K. Patanarapeelert, T. D. Frank, P. J. Beek, R. Friedrich and I. Ming Tang, Theoretical Analysis of Destabilization Resonances in Time-delayed Stochastic Second-order Dynamical Systems and Some Implications for Human Motor Control, Phys. Rev. E 73, 021901 (2006).
K. Patanarapeelert, T. D. Frank, R. Friedrich and I. Ming Tang, On Reducible Nonlinear Time-delayed Stochastic Systems: Fluctuation-dissipation Relation, Transition to Bistability, and Secondary Transitions to Non-stationarity, J. Phys. A: Math Gen. 38(2005), pp. 10069-10083.
T. D. Frank, K. Patanarapeelert and I. Ming Tang, Delay- and Noise-induced Transitions: a Case Study for a Hongler Model with Time Delay. Phys. Lett. A, 339(2005), pp. 246-251.
H. Nishiura, K. Patanarapelert, M. Sriprom, W. Sarakorn, S. Sriyab and I. Ming Tang, Modeling Potential Responses to Serve Acute Respiratory Syndrome in Japan: the Role of Initial Attack Size, Precaution, and Quarantine, Journal of Epidemiology & Community Health, 58(2004), pp. 186-191.
H. Nishiura, K. Patanarapelert, P. Khortwong, I. Ming Tang and A. Passakorn, Predicting the Future Trend of Drug-resistant Tuberculosis in Thailand: Assessing the Impact of Control Strategy, Southeast Asian J Trop Med Public Health, 35 (3)(2004), pp. 649-656.
P. Pongsumpun, K. Patanarapelert, M Sriprom, S. Varamit and I.M. Tang, Infection Risk to Travelers Going to Dengue Fever Endemic Regions, Southeast Asian J Trop Med Public Health, 35(1)(2004), pp. 3168.