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A Mathematical Model for Feral Cat Ecology with Application to Disease

Jeff Sharpe

出版	University of Central Florida, 2016
URL	http://books.google.com.hk/books?id=SR1qAQAACAAJ&hl=&source=gbs_api

註釋

We formulate and analyze a mathematical model for feral cats living in an isolated colony. The model contains compartments for kittens, adult females and adult males. Kittens are born at a rate proportional to the population of adult females and mature at equal rates into adult females and adult males. Adults compete with each other in a manner analogous to Lotka-Volterra competition. This competition comes in four forms, classified by gender. Native house cats, and their effects are also considered, including additional competition and abandonment into the feral population. Control measures are also modeled in the form of per-capita removal rates. We compute the net reproduction number (R0) for the colony and consider its influence. In the absence of abandonment, if R0 [greater than] 1, the population always persists at a positive equilibrium and if R0 [less than or equal to] 1, the population always tends toward local extinction. This work will be referred to as the core model.