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Original Articles

Continuous time diffusion models with random duration of interest

Pages 187-199 | Published online: 26 Aug 2010

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YASUHIRO TAKEUCHI & KARMESHU. (1989) Dynamic model of three competing social groups. International Journal of Systems Science 20:11, pages 2125-2137.
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D. J. Bartholomew. (1985) Interactive, threshold and non‐linear models for social systems. The Journal of Mathematical Sociology 11:1, pages 43-45.
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Jean‐François Ingenbleek & Claude Lefevre. (1985) A discrete time model of interactive diffusion. The Journal of Mathematical Sociology 11:1, pages 25-42.
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C. L. Sharma, R. K. Pathria & Karmeshu. (1983) Diffusion of information in a social group. The Journal of Mathematical Sociology 9:3, pages 211-226.
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KARMESHU. (1982) A solvable stochastic model of population growth in a region with threshold effect. International Journal of Systems Science 13:5, pages 581-588.
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Beth Allen. (1982) A stochastic interactive model for the diffusion of information. The Journal of Mathematical Sociology 8:2, pages 265-281.
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Karmeshu & R. K. Pathria. (1980) Time development of a Markov process in a finite population: Application to diffusion of information. The Journal of Mathematical Sociology 7:2, pages 229-240.
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Karmeshu & R. K. Pathria. (1980) Diffusion of information in a random environment. The Journal of Mathematical Sociology 7:2, pages 215-227.
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Karmeshu & R. K. Pathria. (1980) Stochastic evolution of a nonlinear model of diffusion of information* . The Journal of Mathematical Sociology 7:1, pages 59-71.
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Karmeshu & R. K. Pathria. (1980) Stochastic evolution of competing social groups. The Journal of Mathematical Sociology 7:1, pages 47-58.
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Gaofeng Da, Maochao Xu & Shouhuai Xu. (2016) ON THE QUASI-STATIONARY DISTRIBUTION OF SIS MODELS. Probability in the Engineering and Informational Sciences 30:4, pages 622-639.
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Vincenzo Capasso & David BaksteinVincenzo Capasso & David Bakstein. 2015. An Introduction to Continuous-Time Stochastic Processes. An Introduction to Continuous-Time Stochastic Processes 349 400 .
Erik A. van Doorn & Philip K. Pollett. (2013) Quasi-stationary distributions for discrete-state models. European Journal of Operational Research 230:1, pages 1-14.
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P.K. Pollett, A.H. Dooley & J.V. Ross. (2010) Modelling population processes with random initial conditions. Mathematical Biosciences 223:2, pages 142-150.
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Michael Sonis. 2009. Tool Kits in Regional Science. Tool Kits in Regional Science 243 271 .
Karmeshu & D. Goswami. (2008) Transient Bimodality and Catastrophic Jumps in Innovation Diffusion. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 38:3, pages 644-654.
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J.V. Ross, T. Taimre & P.K. Pollett. (2006) On parameter estimation in population models. Theoretical Population Biology 70:4, pages 498-510.
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Richard Kryscio & Claude Lefevre. 2004. Statistical Methods in Computer Security. Statistical Methods in Computer Security 213 227 .
John Wierman. 2004. Statistical Methods in Computer Security. Statistical Methods in Computer Security 157 168 .
John C. Wierman & David J. Marchette. (2004) Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction. Computational Statistics & Data Analysis 45:1, pages 3-23.
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Ilkka Hanski & Otso Ovaskainen. (2003) Metapopulation theory for fragmented landscapes. Theoretical Population Biology 64:1, pages 119-127.
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Karmeshu & N. R. Pal. 2003. Entropy Measures, Maximum Entropy Principle and Emerging Applications. Entropy Measures, Maximum Entropy Principle and Emerging Applications 1 53 .
Otso Ovaskainen. (2016) The quasistationary distribution of the stochastic logistic model. Journal of Applied Probability 38:4, pages 898-907.
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INGEMAR NÅSELL. (2001) Extinction and Quasi-stationarity in the Verhulst Logistic Model. Journal of Theoretical Biology 211:1, pages 11-27.
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Ingemar Nåsell. (1999) On the quasi-stationary distribution of the stochastic logistic epidemic. Mathematical Biosciences 156:1-2, pages 21-40.
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Karmeshu & V. P. Jain. 1997. Innovative Behaviour in Space and Time. Innovative Behaviour in Space and Time 64 74 .
Ingemar Nåsell. (2016) The quasi-stationary distribution of the closed endemic sis model. Advances in Applied Probability 28:3, pages 895-932.
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Connie L. Bauer. (1991) Logistic versus decaying exponential equations for describing mail survey response curves: A conceptual rationale and reanalysis. Journal of Direct Marketing 5:1, pages 15-26.
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M. Goswamy & A. Kumar. (1990) Stochastic model for spread of rumour supported by a leader resulting in collective violence and planning of control measures. Mathematical Social Sciences 19:1, pages 23-36.
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Richard J. Kryscio & Claude Lefèvre. (2016) On the Extinction of the S–I–S stochastic logistic epidemic . Journal of Applied Probability 26:4, pages 685-694.
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V.B. Lal, Karmeshu & S. Kaicker. (1988) Modeling innovation diffusion with distributed time lag. Technological Forecasting and Social Change 34:2, pages 103-113.
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Connie L. Bauer. (1987) Direct response advertising. Journal of Direct Marketing 1:4, pages 38-50.
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Ping Chen. (1987) Origin of the division of labour and a stochastic mechanism of differentiation. European Journal of Operational Research 30:3, pages 246-250.
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D. J. Bartholomew. (2008) Recent developments in nonlinear stochastic modelling of social processes. Canadian Journal of Statistics 12:1, pages 39-52.
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Karmeshu, R.K. Pathria & V.P. Jain. (1983) A dynamical model of company growth. Applied Mathematics and Computation 12:1, pages 61-75.
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C. L. Sharma, R. K. Pathria & Karmeshu. (1982) Critical behavior of a class of nonlinear stochastic models of diffusion of information. Physical Review A 26:6, pages 3567-3574.
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Karmeshu. (1982) Time lag in a diffusion model of information. Mathematical Modelling 3:2, pages 137-141.
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Karmeshu & N. K. Jaiswal. (2016) A machine interference model with threshold effect. Journal of Applied Probability 18:2, pages 491-498.
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Karmeshu & N. K. Jaiswal. (2016) A machine interference model with threshold effect. Journal of Applied Probability 18:02, pages 491-498.
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Karmeshu. (1981) A stochastic point reactor model with threshold effect. Annals of Nuclear Energy 8:3, pages 141-144.
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