A generalized Gompertz growth model with applications and related birth-death processes

DOI10.1007/s11587-020-00548-yzbMath1529.92038OpenAlexW3114263065MaRDI QIDQ6054800

Serena Spina, Majid Asadi, Farkhondeh A. Sajadi, Antonio Di Crescenzo

Publication date: 25 October 2023

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-020-00548-y

zbMATH Keywords

birth-death processGompertz modelfirst-passage-time problemultimate extinction probability

Mathematics Subject Classification ID

Applications of branching processes (60J85) Population dynamics (general) (92D25)

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Cites Work

• Unnamed Item
• Analysis and approximation of a stochastic growth model with extinction
• Analysis of a growth model inspired by Gompertz and Korf laws, and an analogous birth-death process
• Transition probabilities for general birth-death processes with applications in ecology, genetics, and evolution
• A stochastic model of cancer growth subject to an intermittent treatment with combined effects: reduction in tumor size and rise in growth rate
• Stochastic orders
• Some properties of the residual lifetime of progressively type-II right censored order statistics
• A stochastic Gompertz birth-death process
• A stochastic model of tumor growth
• Analysis of logistic growth models
• Evolution of model specific relative growth rate: its genesis and performance over Fisher's growth rates
• Estimating a non-homogeneous Gompertz process with jumps as model of tumor dynamics
• Shape measures based on the convex transform order
• Some results and applications of geometric counting processes
• A novel unification method to characterize a broad class of growth curve models using relative growth rate
• Analysis of a generalized Fujikawa's growth model
• On a class of birth-death processes with time-varying intensity functions
• A stochastic model in tumor growth
• Modeling biological systems with an improved fractional Gompertz law
• The fractional birth process with power-law immigration
• Gompertz growth model in random environment with time-dependent diffusion
• On exponential ergodicity and spectral structure for birth-death processes. I
• On exponential ergodicity and spectral structure for birth-death processes. II
• A generalized Luria-Delbrück model
• Finite Difference Computation of a Stochastic Aquaculture Problem Under Incomplete Information
• Some unified characterization results on generalized Pareto distributions