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1. Dynamic Behaviors of a Discrete Commensal Symbiosis Model with Holling Type Functional Response.

Author

Jiehua Zhang and Xiaoying Chen

Subjects
*SYMBIOSIS, *BIRTH rate, *COMMENSALISM, *DYNAMICAL systems, *COMPUTER simulation
Abstract

In this paper, we investigate the dynamics of a discrete commensal symbiosis model with Holling type functional response and density dependent birth rate. Sufficient conditions are obtained for the permanence, partial extinction, and global attractivity of the system. Our analysis presents that the density dependent birth rate plays a crucial role on the dynamic behaviors of the system. Finally, numerical simulations and graphical illustrations are given to indicate the analytical results. [ABSTRACT FROM AUTHOR]

Published
2023

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