Study of Birth-Death Processes with Immigration

نویسندگان

چکیده

Birth-death processes are applied in the modelling of many biological populations, such as tumour cells and viruses. Various studies have established that birth-death processes, which occurwhen population size is zero, not in-line with reality situations. Therefore, this study, immigration were investigated. We considered two policies. First, allowed if only zero. Second, at a constant rate irrespective size. Birth death rates chosen mean Gompertz function when The transient probability was obtained for both cases. Several growth datasets fitted using above models standard model without immigration. provided entirely different probabilities being zero an arbitrary epoch compared Moreover, all three similar fit to data. For each studied, produced less variance than non-immigration model.

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ژورنال

عنوان ژورنال: Croatian Operational Research Review

سال: 2022

ISSN: ['1848-0225', '1848-9931']

DOI: https://doi.org/10.17535/crorr.2022.0004