Student or educator? Sign up with your school email and get 6 months of Pro free.
CoChat
Sign Up
Cited by 300

The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.

Impact of the fear effect in a prey-predator model incorporating a prey refuge

Zhang, Huisen, Cai, Yongli, Fu, Shengmao, Wang, Weiming·2019·Applied Mathematics and Computation
DOI 10.1016/j.amc.2019.03.034
Open this paper in CoChat — free account

Abstract

Abstract In this paper, we investigate the influence of anti-predator behaviour due to the fear of predators with a Holling-type-II prey-predator model incorporating a prey refuge. We first provide the existence and stability of equilibria of the model. Next, we give the existence of Hopf bifurcation and limit cycle. In addition, we study the impact of the fear effect on the model analytically and numerically, and find that the fear effect can not only reduce the population density of predator at the positive equilibrium, but also stabilize the system by excluding the existence of periodic solutions. Moreover, we also find that prey refuge has great impact on the persistence of the predator.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1016/j.amc.2019.03.034

Cites

19 of 19 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 19 references

Metadata

Authors
Zhang, H., Cai, Y., Fu, S., & Wang, W.
Venue
Applied Mathematics and Computation
Publisher
Elsevier BV
Published
2019-09
Volume
356
Pages
328-337
ISSN
0096-3003 (ISSN-L)
DOI
10.1016/j.amc.2019.03.034
OpenAlex
W2935221474
Cited by
300
References
19
FWCI
27.46
Type
journal article
Language
en
Open access
closed

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Impact of the fear effect in a prey-predator model incorporating a prey refuge. https://app.cochat.ai/papers/10.1016/j.amc.2019.03.034
The paper
Zhang, H., Cai, Y., Fu, S., & Wang, W. (2019). Impact of the fear effect in a prey-predator model incorporating a prey refuge. Applied Mathematics and Computation. https://doi.org/10.1016/j.amc.2019.03.034

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.