A reconciliation of simple and complex models of age-dependent predation |
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Authors: | James N. McNair |
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Affiliation: | 1. Department of Mathematics, Faculty of Science & Arts - Rabigh, King Abdulaziz University, Rabigh 25732, Saudi Arabia;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;3. Department of Mathematics, Visva-Bharati University, Santiniketan 731235, India;1. DLR, Center for Computer Applications in AeroSpace Science and Engineering, Göttingen, Germany;2. St.-Petersburg Polytechnic University & “New Technologies and Services” (NTS), St.-Petersburg, Russia |
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Abstract: | Predation intensity often varies with prey age or development stage. Several theoretical studies have considered what effect such age-dependent predation has on the stability of predator-prey interactions. The simple models suggest its effect is typically stabilizing; more complex models suggest otherwise. Current theory is therefore divided on this issue. Here I show that the conclusion of previous studies of simple models is due to biologically extreme restrictions on certain parameter values. When these are relaxed, age-dependent predation becomes equally capable of a stabilizing or destabilizing effect, just as in more complex models. Specific conditions favoring each effect are identified and discussed. |
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