Abstract

Host/parasite interactions are considered in which the host has hormonal control over parasite reproductivity. A previously studied model is modified using social interactions arising from evolution for smaller size and simpler morphology for parasites and higher reproductivity for hosts (i.e., progenesis a la S.J. Gould). The evolutionary process necessarily takes place in a noisy environment typical of r-selective regimes. Emergent density-dependent effects of progenesis require Finsler diffusion theory to obtain the stochastically perturbed model equations. An application is made to the myxomatosis epizootic of the European wild rabbit. Qualitative information about this disease is obtained from the Feynman-Kac formula for the forward Cauchy problem in a Finsler space of Wagner class.

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 call

Disclaimer: 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.