DYNAMICS OF TWO PREDATOR-PREY MODELS WITH POWER LAW RELATION Article Swipe
Zhao Jian-dong
,
Tonghua Zhang
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.11948/20220026
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.11948/20220026
In this paper, we propose a predator-prey model with power law relation based on the model in [Hatton et al, The predator-prey power law: Biomass scaling across terrestrial and aquatic biomes, Science 349(2015), aac6284], and analyze the global dynamics of both models. We obtain that Hatton's model is persistent for power less than 1, and there exists a separatrix near the origin such that solutions of the model above it are driven to the origin and the ones below it are far away from origin for power greater than 1. However, our model is persistent for all power and has the same singularity as that of Hatton's model at the origin for power greater than 1, which indicate that the prey and predator will coexist or extinct eventually. Furthermore, in our model, the prey will be stable at its carrying capacity and the predator will be extinct for power less than 1, and the prey will be stable at its carrying capacity or both the prey and predator will be extinct for power greater than 1.
Related Topics
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.11948/20220026
- OA Status
- diamond
- Cited By
- 2
- References
- 37
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4285717250
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4285717250Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.11948/20220026Digital Object Identifier
- Title
-
DYNAMICS OF TWO PREDATOR-PREY MODELS WITH POWER LAW RELATIONWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2022Year of publication
- Publication date
-
2022-06-17Full publication date if available
- Authors
-
Zhao Jian-dong, Tonghua ZhangList of authors in order
- Landing page
-
https://doi.org/10.11948/20220026Publisher landing page
- Open access
-
YesWhether a free full text is available
- OA status
-
diamondOpen access status per OpenAlex
- OA URL
-
https://doi.org/10.11948/20220026Direct OA link when available
- Concepts
-
Predator, Predation, Biome, Ecology, Biology, EcosystemTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
2Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 1, 2023: 1Per-year citation counts (last 5 years)
- References (count)
-
37Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4285717250 |
|---|---|
| doi | https://doi.org/10.11948/20220026 |
| ids.doi | https://doi.org/10.11948/20220026 |
| ids.openalex | https://openalex.org/W4285717250 |
| fwci | 0.57285338 |
| type | article |
| title | DYNAMICS OF TWO PREDATOR-PREY MODELS WITH POWER LAW RELATION |
| biblio.issue | 1 |
| biblio.volume | 13 |
| biblio.last_page | 248 |
| biblio.first_page | 233 |
| topics[0].id | https://openalex.org/T10482 |
| topics[0].field.id | https://openalex.org/fields/27 |
| topics[0].field.display_name | Medicine |
| topics[0].score | 0.9998999834060669 |
| topics[0].domain.id | https://openalex.org/domains/4 |
| topics[0].domain.display_name | Health Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/2739 |
| topics[0].subfield.display_name | Public Health, Environmental and Occupational Health |
| topics[0].display_name | Mathematical and Theoretical Epidemiology and Ecology Models |
| topics[1].id | https://openalex.org/T11764 |
| topics[1].field.id | https://openalex.org/fields/13 |
| topics[1].field.display_name | Biochemistry, Genetics and Molecular Biology |
| topics[1].score | 0.9991000294685364 |
| topics[1].domain.id | https://openalex.org/domains/1 |
| topics[1].domain.display_name | Life Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/1311 |
| topics[1].subfield.display_name | Genetics |
| topics[1].display_name | Evolution and Genetic Dynamics |
| topics[2].id | https://openalex.org/T11252 |
| topics[2].field.id | https://openalex.org/fields/33 |
| topics[2].field.display_name | Social Sciences |
| topics[2].score | 0.9940000176429749 |
| topics[2].domain.id | https://openalex.org/domains/2 |
| topics[2].domain.display_name | Social Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/3312 |
| topics[2].subfield.display_name | Sociology and Political Science |
| topics[2].display_name | Evolutionary Game Theory and Cooperation |
| is_xpac | False |
| apc_list | |
| apc_paid | |
| concepts[0].id | https://openalex.org/C96857902 |
| concepts[0].level | 3 |
| concepts[0].score | 0.7808530330657959 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q2138108 |
| concepts[0].display_name | Predator |
| concepts[1].id | https://openalex.org/C188382862 |
| concepts[1].level | 2 |
| concepts[1].score | 0.757634162902832 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q170430 |
| concepts[1].display_name | Predation |
| concepts[2].id | https://openalex.org/C89920630 |
| concepts[2].level | 3 |
| concepts[2].score | 0.48447513580322266 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q101998 |
| concepts[2].display_name | Biome |
| concepts[3].id | https://openalex.org/C18903297 |
| concepts[3].level | 1 |
| concepts[3].score | 0.3668234050273895 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q7150 |
| concepts[3].display_name | Ecology |
| concepts[4].id | https://openalex.org/C86803240 |
| concepts[4].level | 0 |
| concepts[4].score | 0.32478228211402893 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q420 |
| concepts[4].display_name | Biology |
| concepts[5].id | https://openalex.org/C110872660 |
| concepts[5].level | 2 |
| concepts[5].score | 0.1034809947013855 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q37813 |
| concepts[5].display_name | Ecosystem |
| keywords[0].id | https://openalex.org/keywords/predator |
| keywords[0].score | 0.7808530330657959 |
| keywords[0].display_name | Predator |
| keywords[1].id | https://openalex.org/keywords/predation |
| keywords[1].score | 0.757634162902832 |
| keywords[1].display_name | Predation |
| keywords[2].id | https://openalex.org/keywords/biome |
| keywords[2].score | 0.48447513580322266 |
| keywords[2].display_name | Biome |
| keywords[3].id | https://openalex.org/keywords/ecology |
| keywords[3].score | 0.3668234050273895 |
| keywords[3].display_name | Ecology |
| keywords[4].id | https://openalex.org/keywords/biology |
| keywords[4].score | 0.32478228211402893 |
| keywords[4].display_name | Biology |
| keywords[5].id | https://openalex.org/keywords/ecosystem |
| keywords[5].score | 0.1034809947013855 |
| keywords[5].display_name | Ecosystem |
| language | en |
| locations[0].id | doi:10.11948/20220026 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S2764353558 |
| locations[0].source.issn | 2156-907X, 2158-5644 |
| locations[0].source.type | journal |
| locations[0].source.is_oa | True |
| locations[0].source.issn_l | 2156-907X |
| locations[0].source.is_core | True |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | Journal of Applied Analysis & Computation |
| locations[0].source.host_organization | |
| locations[0].source.host_organization_name | |
| locations[0].license | cc-by |
| locations[0].pdf_url | |
| locations[0].version | publishedVersion |
| locations[0].raw_type | journal-article |
| locations[0].license_id | https://openalex.org/licenses/cc-by |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | Journal of Applied Analysis & Computation |
| locations[0].landing_page_url | https://doi.org/10.11948/20220026 |
| indexed_in | crossref |
| authorships[0].author.id | https://openalex.org/A5024698214 |
| authorships[0].author.orcid | https://orcid.org/0000-0001-5820-5699 |
| authorships[0].author.display_name | Zhao Jian-dong |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Jiandong Zhao |
| authorships[0].is_corresponding | False |
| authorships[1].author.id | https://openalex.org/A5086628608 |
| authorships[1].author.orcid | https://orcid.org/0000-0003-0510-1428 |
| authorships[1].author.display_name | Tonghua Zhang |
| authorships[1].author_position | last |
| authorships[1].raw_author_name | Tonghua Zhang |
| authorships[1].is_corresponding | False |
| has_content.pdf | False |
| has_content.grobid_xml | False |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://doi.org/10.11948/20220026 |
| open_access.oa_status | diamond |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | DYNAMICS OF TWO PREDATOR-PREY MODELS WITH POWER LAW RELATION |
| has_fulltext | False |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T10482 |
| primary_topic.field.id | https://openalex.org/fields/27 |
| primary_topic.field.display_name | Medicine |
| primary_topic.score | 0.9998999834060669 |
| primary_topic.domain.id | https://openalex.org/domains/4 |
| primary_topic.domain.display_name | Health Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/2739 |
| primary_topic.subfield.display_name | Public Health, Environmental and Occupational Health |
| primary_topic.display_name | Mathematical and Theoretical Epidemiology and Ecology Models |
| related_works | https://openalex.org/W2168669462, https://openalex.org/W2177427508, https://openalex.org/W2067000585, https://openalex.org/W2192426841, https://openalex.org/W4323811225, https://openalex.org/W4311356582, https://openalex.org/W2164070575, https://openalex.org/W2289298756, https://openalex.org/W2073795128, https://openalex.org/W2143533297 |
| cited_by_count | 2 |
| counts_by_year[0].year | 2025 |
| counts_by_year[0].cited_by_count | 1 |
| counts_by_year[1].year | 2023 |
| counts_by_year[1].cited_by_count | 1 |
| locations_count | 1 |
| best_oa_location.id | doi:10.11948/20220026 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S2764353558 |
| best_oa_location.source.issn | 2156-907X, 2158-5644 |
| best_oa_location.source.type | journal |
| best_oa_location.source.is_oa | True |
| best_oa_location.source.issn_l | 2156-907X |
| best_oa_location.source.is_core | True |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | Journal of Applied Analysis & Computation |
| best_oa_location.source.host_organization | |
| best_oa_location.source.host_organization_name | |
| best_oa_location.license | cc-by |
| best_oa_location.pdf_url | |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | journal-article |
| best_oa_location.license_id | https://openalex.org/licenses/cc-by |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | Journal of Applied Analysis & Computation |
| best_oa_location.landing_page_url | https://doi.org/10.11948/20220026 |
| primary_location.id | doi:10.11948/20220026 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S2764353558 |
| primary_location.source.issn | 2156-907X, 2158-5644 |
| primary_location.source.type | journal |
| primary_location.source.is_oa | True |
| primary_location.source.issn_l | 2156-907X |
| primary_location.source.is_core | True |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | Journal of Applied Analysis & Computation |
| primary_location.source.host_organization | |
| primary_location.source.host_organization_name | |
| primary_location.license | cc-by |
| primary_location.pdf_url | |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | https://openalex.org/licenses/cc-by |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Journal of Applied Analysis & Computation |
| primary_location.landing_page_url | https://doi.org/10.11948/20220026 |
| publication_date | 2022-06-17 |
| publication_year | 2022 |
| referenced_works | https://openalex.org/W2022179617, https://openalex.org/W2004728046, https://openalex.org/W1989315300, https://openalex.org/W2073466576, https://openalex.org/W2028568622, https://openalex.org/W4292156591, https://openalex.org/W2004721236, https://openalex.org/W1983475083, https://openalex.org/W2049346153, https://openalex.org/W2064267037, https://openalex.org/W2047838894, https://openalex.org/W2167137586, https://openalex.org/W2016804185, https://openalex.org/W2017335847, https://openalex.org/W1983989607, https://openalex.org/W2016434104, https://openalex.org/W2474031850, https://openalex.org/W2941135326, https://openalex.org/W2007465405, https://openalex.org/W2330947529, https://openalex.org/W3043554317, https://openalex.org/W2023505321, https://openalex.org/W3016620489, https://openalex.org/W3093499569, https://openalex.org/W1993486687, https://openalex.org/W2460139993, https://openalex.org/W2437127566, https://openalex.org/W1995801972, https://openalex.org/W2004925645, https://openalex.org/W1997400488, https://openalex.org/W2023778503, https://openalex.org/W2091785626, https://openalex.org/W2474279756, https://openalex.org/W2320796214, https://openalex.org/W3110608221, https://openalex.org/W572972466, https://openalex.org/W2102265921 |
| referenced_works_count | 37 |
| abstract_inverted_index.a | 5, 57 |
| abstract_inverted_index.1, | 53, 115, 151 |
| abstract_inverted_index.1. | 89, 175 |
| abstract_inverted_index.In | 0 |
| abstract_inverted_index.We | 42 |
| abstract_inverted_index.as | 103 |
| abstract_inverted_index.at | 108, 137, 158 |
| abstract_inverted_index.be | 135, 145, 156, 169 |
| abstract_inverted_index.et | 18 |
| abstract_inverted_index.in | 16, 129 |
| abstract_inverted_index.is | 47, 93 |
| abstract_inverted_index.it | 69, 79 |
| abstract_inverted_index.of | 39, 65, 105 |
| abstract_inverted_index.on | 13 |
| abstract_inverted_index.or | 125, 162 |
| abstract_inverted_index.to | 72 |
| abstract_inverted_index.we | 3 |
| abstract_inverted_index.The | 20 |
| abstract_inverted_index.al, | 19 |
| abstract_inverted_index.all | 96 |
| abstract_inverted_index.and | 28, 34, 54, 75, 98, 121, 141, 152, 166 |
| abstract_inverted_index.are | 70, 80 |
| abstract_inverted_index.far | 81 |
| abstract_inverted_index.for | 49, 85, 95, 111, 147, 171 |
| abstract_inverted_index.has | 99 |
| abstract_inverted_index.its | 138, 159 |
| abstract_inverted_index.law | 10 |
| abstract_inverted_index.our | 91, 130 |
| abstract_inverted_index.the | 14, 36, 60, 66, 73, 76, 100, 109, 119, 132, 142, 153, 164 |
| abstract_inverted_index.away | 82 |
| abstract_inverted_index.both | 40, 163 |
| abstract_inverted_index.from | 83 |
| abstract_inverted_index.law: | 23 |
| abstract_inverted_index.less | 51, 149 |
| abstract_inverted_index.near | 59 |
| abstract_inverted_index.ones | 77 |
| abstract_inverted_index.prey | 120, 133, 154, 165 |
| abstract_inverted_index.same | 101 |
| abstract_inverted_index.such | 62 |
| abstract_inverted_index.than | 52, 88, 114, 150, 174 |
| abstract_inverted_index.that | 44, 63, 104, 118 |
| abstract_inverted_index.this | 1 |
| abstract_inverted_index.will | 123, 134, 144, 155, 168 |
| abstract_inverted_index.with | 8 |
| abstract_inverted_index.above | 68 |
| abstract_inverted_index.based | 12 |
| abstract_inverted_index.below | 78 |
| abstract_inverted_index.model | 7, 15, 46, 67, 92, 107 |
| abstract_inverted_index.power | 9, 22, 50, 86, 97, 112, 148, 172 |
| abstract_inverted_index.there | 55 |
| abstract_inverted_index.which | 116 |
| abstract_inverted_index.across | 26 |
| abstract_inverted_index.driven | 71 |
| abstract_inverted_index.exists | 56 |
| abstract_inverted_index.global | 37 |
| abstract_inverted_index.model, | 131 |
| abstract_inverted_index.obtain | 43 |
| abstract_inverted_index.origin | 61, 74, 84, 110 |
| abstract_inverted_index.paper, | 2 |
| abstract_inverted_index.stable | 136, 157 |
| abstract_inverted_index.Biomass | 24 |
| abstract_inverted_index.Science | 31 |
| abstract_inverted_index.analyze | 35 |
| abstract_inverted_index.aquatic | 29 |
| abstract_inverted_index.biomes, | 30 |
| abstract_inverted_index.coexist | 124 |
| abstract_inverted_index.extinct | 126, 146, 170 |
| abstract_inverted_index.greater | 87, 113, 173 |
| abstract_inverted_index.models. | 41 |
| abstract_inverted_index.propose | 4 |
| abstract_inverted_index.scaling | 25 |
| abstract_inverted_index.Hatton's | 45, 106 |
| abstract_inverted_index.However, | 90 |
| abstract_inverted_index.capacity | 140, 161 |
| abstract_inverted_index.carrying | 139, 160 |
| abstract_inverted_index.dynamics | 38 |
| abstract_inverted_index.indicate | 117 |
| abstract_inverted_index.predator | 122, 143, 167 |
| abstract_inverted_index.relation | 11 |
| abstract_inverted_index.solutions | 64 |
| abstract_inverted_index.349(2015), | 32 |
| abstract_inverted_index.persistent | 48, 94 |
| abstract_inverted_index.separatrix | 58 |
| abstract_inverted_index.eventually. | 127 |
| abstract_inverted_index.singularity | 102 |
| abstract_inverted_index.terrestrial | 27 |
| abstract_inverted_index.Furthermore, | 128 |
| abstract_inverted_index.predator-prey | 6, 21 |
| abstract_inverted_index.[<italic>Hatton | 17 |
| abstract_inverted_index.aac6284</italic>], | 33 |
| cited_by_percentile_year.max | 95 |
| cited_by_percentile_year.min | 89 |
| countries_distinct_count | 0 |
| institutions_distinct_count | 2 |
| citation_normalized_percentile.value | 0.63443764 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |