Turing-Hopf bifurcation of a diffusive Holling-Tanner model with
nonlocal effect and digestion time delay
- Yehu Lv
![](https://d197for5662m48.cloudfront.net/assets/icons/omniauth/orcid-ca37582cd91a671ed5cec57770e0e96c01b4b79b8b5b75d8598fc1ddac18c974.svg)
Abstract
In this paper, we discuss the Turing-Hopf bifurcation of a diffusive
Holling-Tanner model with nonlocal effect and digestion time delay. The
stability, Turing bifurcation, Hopf bifurcation and Turing-Hopf
bifurcation are first researched. Then we derive the algorithm for
calculating the normal form of Turing-Hopf bifurcation of a diffusive
Holling-Tanner model with nonlocal effect and digestion time delay. At
last, we carry out some numerical simulations to verify our theoretical
analysis results. The stable positive constant steady state and the
stable spatially inhomogeneous periodic solutions are found.
Furthermore, the evolution process from unstable spatially inhomogeneous
steady states to stable positive constant steady state, the evolution
process from unstable spatially inhomogeneous steady states to stable
spatially inhomogeneous periodic solutions, the evolution process from
one unstable spatially inhomogeneous periodic solution to another stable
spatially inhomogeneous periodic solution and the evolution process from
unstable spatially inhomogeneous periodic solution to stable positive
constant steady state are also found.08 Mar 2022Submitted to Mathematical Methods in the Applied Sciences 09 Mar 2022Submission Checks Completed
09 Mar 2022Assigned to Editor
19 Mar 2022Reviewer(s) Assigned
09 Dec 2022Editorial Decision: Revise Minor
10 Dec 20221st Revision Received
12 Dec 2022Submission Checks Completed
12 Dec 2022Assigned to Editor
12 Dec 2022Review(s) Completed, Editorial Evaluation Pending
14 Dec 2022Reviewer(s) Assigned
08 Feb 2023Editorial Decision: Accept