Abstract
An interesting class of diffusion stochastic processes is studied. These processes arise from discrete models of gene formation and detection in finite populations. The diffusion processes are governed not only by the usual infinitesimal drift and diffusion terms, but also by a state dependent killing rate, which corresponds to formation of certain types of individuals. For one case, the spectral decomposition of the transition function is available, which allows a complete study of the process. Its behavior is compared with other variants of the detection problem.
Sign-in/Register to access full text options 
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.
