Abstract
Markov Models are very much popular in studying population dynamics subject to catastrophes. So, emphasis is given on a discrete state space models specically when the population change occurs as a result of births, deaths and immigration in presence of catastrophes. A transient solution of simple birth-death-immigration process under the influence of total catastrophes has been found where the catastrophes occur at a constant rate and the population size reduces to zero if the catastrophes occur. Since, such processes are completely explained in terms of probability generating function, the mean and variance, we have analyzed the process focusing on these aspects. A simulation study was also carried out to gather evidences towards the results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
