Birth Rate Effects on an Age-Structured Predator-Prey Model with Cannibalism in the Prey
We develop a family of predator-prey models with age structure and cannibalism in the prey population. It consists of systems of m ordinary differential equations, where m is a parameter associated with new proposed prey birth rates. We discuss how these new birth rates give the required flexibility...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/241312 |
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| _version_ | 1832545687767613440 |
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| author | Francisco J. Solis Roberto A. Ku-Carrillo |
| author_facet | Francisco J. Solis Roberto A. Ku-Carrillo |
| author_sort | Francisco J. Solis |
| collection | DOAJ |
| description | We develop a family of predator-prey models with age
structure and cannibalism in the prey population. It consists of systems
of m ordinary differential equations, where m is a parameter associated with
new proposed prey birth rates. We discuss how these new birth rates give
the required flexibility to produce differential systems with well-behaved
solutions. The main feature required in these models is the coexistence
among the involved species, which translates mathematically into stable
equilibria and periodic solutions. The search for such characteristics is
based on heuristic predation functions that account for cannibalism in
the prey. |
| format | Article |
| id | doaj-art-0078733943634a98b7fb357ec7eee3b1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0078733943634a98b7fb357ec7eee3b12025-02-03T07:24:50ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/241312241312Birth Rate Effects on an Age-Structured Predator-Prey Model with Cannibalism in the PreyFrancisco J. Solis0Roberto A. Ku-Carrillo1CIMAT, Jalisco, s/n, 36240 Col Valenciana, GTO, MexicoUniversidad Autónoma de Aguascalientes, Edificio 26, Avenida Universidad No. 940, 20100 Aguascalientes, AGS, MexicoWe develop a family of predator-prey models with age structure and cannibalism in the prey population. It consists of systems of m ordinary differential equations, where m is a parameter associated with new proposed prey birth rates. We discuss how these new birth rates give the required flexibility to produce differential systems with well-behaved solutions. The main feature required in these models is the coexistence among the involved species, which translates mathematically into stable equilibria and periodic solutions. The search for such characteristics is based on heuristic predation functions that account for cannibalism in the prey.http://dx.doi.org/10.1155/2015/241312 |
| spellingShingle | Francisco J. Solis Roberto A. Ku-Carrillo Birth Rate Effects on an Age-Structured Predator-Prey Model with Cannibalism in the Prey Abstract and Applied Analysis |
| title | Birth Rate Effects on an Age-Structured Predator-Prey Model with Cannibalism in the Prey |
| title_full | Birth Rate Effects on an Age-Structured Predator-Prey Model with Cannibalism in the Prey |
| title_fullStr | Birth Rate Effects on an Age-Structured Predator-Prey Model with Cannibalism in the Prey |
| title_full_unstemmed | Birth Rate Effects on an Age-Structured Predator-Prey Model with Cannibalism in the Prey |
| title_short | Birth Rate Effects on an Age-Structured Predator-Prey Model with Cannibalism in the Prey |
| title_sort | birth rate effects on an age structured predator prey model with cannibalism in the prey |
| url | http://dx.doi.org/10.1155/2015/241312 |
| work_keys_str_mv | AT franciscojsolis birthrateeffectsonanagestructuredpredatorpreymodelwithcannibalismintheprey AT robertoakucarrillo birthrateeffectsonanagestructuredpredatorpreymodelwithcannibalismintheprey |