The ecological replacement of the red squirrels in the United Kingdom by the introduction of grey squirrels is studied using a competing species model with an infectious disease. The model is an SIR-SI model since only grey squirrels can recover from the disease. Models with mass action and frequency-dependent (standard) incidence are analyzed. Both local and global behavior of the systems are studied.The grey squirrels have been more efficient in reproducing and finding food, making them better competitors than their red counterparts. However, competition alone does not explain the fast rate and pattern of decline of the red squirrelsanbsp;...
|Title||:||Mathematical Models for Two Species Sharing an Infectious Disease|
|Author||:||Roberto Alonso Saenz Casas|
|Publisher||:||ProQuest - 2006|