Birth rate effects on an age-structured predator-prey model with cannibalism in the prey
type: Item
instance of: scholarly article
title: Birth rate effects on an age-structured predator-prey model with cannibalism in the prey
zbMATH Open document ID: 1433.92041
DOI: 10.1155/2015/241312
author: Francisco J. Solis
author: Roberto A. Ku-Carrillo
published in: Abstract and Applied Analysis
publication date: 2018-08-29T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 6929080
Wikidata QID: Q59101573
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/241312
OpenAlex ID: W1926999651
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description: scientific article; zbMATH DE number 6929080