Author: Joe Pharaon; Chris T. Bauch
                    Title: The Influence Of Social Behavior On Competition Between Virulent Pathogen Strains  Document date: 2018_4_4
                    ID: 6s27v6at_1
                    
                    Snippet: a model without adaptive social behaviour as well as a model that includes it, and in the following Results 90 section we will compare their dynamics. 91 3 Model 92 We compare dynamics of a two-strain compartmental epidemic model in the presence and absence of adaptive 93 social behaviour. Individuals are born susceptible (S). They may be infected either by a resident strain (I 1 ) 94 or a mutant strain (I 2 ). For simplicity, we assume that co-i.....
                    
                    
                    
                     
                    
                    
                    
                    
                        
                            
                                Document: a model without adaptive social behaviour as well as a model that includes it, and in the following Results 90 section we will compare their dynamics. 91 3 Model 92 We compare dynamics of a two-strain compartmental epidemic model in the presence and absence of adaptive 93 social behaviour. Individuals are born susceptible (S). They may be infected either by a resident strain (I 1 ) 94 or a mutant strain (I 2 ). For simplicity, we assume that co-infection and super-infection are not possible. 95 Infected individuals can either recover (R) or die from infection. We furthermore assume that recovery from 96 either strain offers permanent immunity to both strains. The system of differential equations representing 97 the SI 1 I 2 R model in the absence of adaptive social behaviour (we will refer to this as the "uncoupled model" 98 throughout) is given by
 
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