On inherited fertility in biological systems: a model of correlated fluctuations in the stochastic branching process

Aliev, 1987, Asymptotic Problems of Stochastic Processes Theory, 5 Aliev, 1987, Asymptotic Problems of Stochastic Processes Theory, 6 Barlett, 1960, Stochastic Population Models in Ecology and Epidemiology, 10 Biggins, 1987, Expected population size in the generation-dependent branching process, J. Appl. Prob., 24, 304, 10.2307/3214255 Coste, 1978, About the theory of competing species, Theor. Pop. Biol., 14, 165, 10.1016/0040-5809(78)90022-9 Dittrich, 1990, A critical branching process in random environment, Theory Prob. Appl., 35, 612, 10.1137/1135077 Dawson, 1975, Stochastic evolution equations and related measures processes, J. Multivar. Anal., 5, 505, 10.1016/0047-259X(75)90054-8 Drobnitsky, 1991, Correlated fluctuations in multi-element systems: the stochastic branching process model, Phys. Rev. A Dremin, 1989, Correlations and fluctuations in multipartical production, Usp. Fiz. Nauk, 160, 105, 10.3367/UFNr.0160.199008c.0105 Eigen, 1988, Molecular quasi-species, J. Phys. Chem., 92, 6881, 10.1021/j100335a010 Grossberg, 1987 Harris, 1963, The theory of branching processes, 11 Karlin, 1968 Keiding, 1975, Extinction and exponential growth in a random environment, Theor. Pop. Biol., 5, 117 Lalley, 1987, A conditional limit theorem for the frontier of branching Brownian motion, Ann. Prob., 15, 1052, 10.1214/aop/1176992080 Koda, 1991, Branching ratios in O(P - 3) reactions of terminal olefins studied by kinetic microwave absorption spectroscopy, J. Phys. Chem., 95, 1241, 10.1021/j100156a038 May, 1973 Moyal, 1962, Multiplicative population chains, 226, 518 Nummelin, 1984 Person, 1991, The influence of parent bending motion on branching at a conical intersection in the photodissociation of CH31, CD31, CF31, J. Chem. Phys., 94, 2557, 10.1063/1.459883 Rahimov, 1988, Local limit theorems for the critical Watson-Galton processes with deceasing immigration, Theory Prob. Appl., 33, 387 Ratner, 1985 Rozanov, 1979 Scott, 1942, On the theory of cosmic-ray showers, Phys. Rev., 62, 497, 10.1103/PhysRev.62.497 Svirejzev, 1978, On Stability of Biological Objects, 119 Svirejzev, 1987, Nonlinear Waves, Dissipative Structures and Catastrophes in Ecology, 352 Tautu, 1988, On the qualitative behavior of interacting biological cell systems, Stochastic Processes in Physics and Engineering, 381, 10.1007/978-94-009-2893-0_20 Turelli, 1977, Random environment and stochastic calculus, Theor. Pop. Biol., 7, 140, 10.1016/0040-5809(77)90040-5 Watson, 1874, On the probability of extinction of families, J. Anthropol. Inst. Great Britain and Ireland., 4, 138, 10.2307/2841222 Yarovaya, 1990, Alteration of high order moments in the model of branching process with the diffusion in a random media, Vestnik MGU, 1, 79 Zhirmunsky, 1990 Zolotaryev, 1954, One inverse problem in the theory of stochastic branching processes, Usp. Mat. Nauk., 9, 147