Asymptotic Behaviour of Extinction Probability of Interacting Branching Collision Processes
نویسندگان
چکیده
منابع مشابه
Asymptotic Behavior of Branching Populations before Extinction
where Xn denotes the number of offspring in the nth generation for a population starting from K offsprings, X0 = K, and throughout the paper the initial size of population K is assumed to be a large value. Such a type of branching process can be a model of real population of animals, insects etc., and the main results of our study can have applications to analysis of real populations arising in...
متن کاملExtinction times in Multitype Markov Branching Processes
In this paper, a distributional approximation to the time to extinction in a subcritical continuous-time Markov branching process is derived. A limit theorem for this distribution is established and the error in the approximation is quantified. The accuracy of the approximation is illustrated in an epidemiological example. Since Markov branching processes serve as approximations to nonlinear ep...
متن کاملAsymptotic Behavior of a Branching Population before Extinction
where Xn denotes the number of offspring in the nth generation, X0 = K, and throughout the paper the initial size of populationK is assumed to be a large value. Such a type of branching process can be a model of real population of animals, insects etc., and the main results of our study can have immediate application to analysis of real populations arising in biology (e.g. Jagers [2], Haccou, J...
متن کاملOn the Extinction Probability for Bisexual Branching Processes in Varying Environments
In this paper, the bisexual branching process in varying environments introduced in [9] is considered and some sufficient conditions for the existence of positive probability of non-extinction are established.
متن کاملAsymptotic Behaviour of Critical Controlled Branching Processes with Random Control Functions
In this paper, we investigate the asymptotic behaviour of controlled branching processes with random control functions. In a critical case, we establish sufficient conditions for both their almost-sure extinction and for their nonextinction with a positive probability. For some suitably chosen norming constants, we also determine different kinds of limiting behaviour for this class of processes.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Probability
سال: 2014
ISSN: 0021-9002,1475-6072
DOI: 10.1239/jap/1395771425