Abstract
In this paper, we propose and analyze a commensalism model with nonmonotonic functional response and density-dependent birth rates. The model can have at most four nonnegative equilibria. By applying the differential inequality theory, we show that each equilibrium can be globally attractive under suitable conditions. However, commensalism can be established only when resources for both species are large enough.
Highlights
Commensalism is a long-term biological interaction in which members of one species gain benefits while those of the other species neither benefit nor are harmed
We propose and analyze a commensalism model with nonmonotonic functional response and density-dependent birth rates
Commensalism has attracted the attention of many researchers ([1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16])
Summary
Commensalism is a long-term biological interaction in which members of one species gain benefits while those of the other species neither benefit nor are harmed. An example of it is that remora are specially adapted to attach themselves to larger fish that provide locomotion and food. Depending on the size of the harvesting area, species can go extinct, partially survive, or become permanent. He showed in [4] that the final density of the species increases as the Allee effect increases. One model incorporating nonconstant intrinsic growth rate is the following density-dependent model:.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
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
