Persistence of two prey–one predator system with ratio-dependent predator influence

✍ Scribed by Dipak Kesh; A. K. Sarkar; A. B. Roy

• Publisher: John Wiley and Sons
• Year: 2000
• Tongue: English
• Weight: 95 KB
• Volume: 23
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/(sici)1099-1476(20000310)23:4<347::aid-mma117>3.0.co;2-f

✦ Synopsis

In this study, we consider a mathematical model of two competing prey and one predator system where the prey species follow Lotka}Volterra-type dynamics and the predator uptake functions are ratio dependent. We have derived the conditions for existence of di!erent boundary equilibria and discussed their global behaviour. The su$cient condition for permanent co-existence of all the species is derived. Finally, we have discussed the possibility of extinction of the species from the system.