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- W2524369678 abstract "In consumer-resource interactions, a resource is regarded as a biotic population that helps tomaintain the population growth of its consumer, whereas a consumer exploits a resource and thenreduces its growth rate. Bi-directional consumer-resource interactions describe the cases whereeach species acts as both a consumer and a resource of the other, which is the basis of many mutualisms.In uni-directional consumer-resource interactions one species acts as a consumer and the other as amaterial and/or energy resource while neither acts as both. In this paper we consider an age-structuredmodel for uni-directional consumer-resource mutualisms in which the consumer species has both positiveand negative effects on the resource species, while the resource has only a positive effect on theconsumer. Examples include a predator-prey system in which the prey is able to kill or consume predator eggs or larvae and the insect pollinator and the host plant relationship in which the plants provide food, seeds, nectar and other resources for the pollinators while the pollinators have both positive and negative effects on the plants. By carrying out local analysis and bifurcation analysis of the model, we discuss the stability of the positive equilibrium and show that under some conditions a non-trivial periodic solution through Hopf bifurcation appears when the maturation parameter passes through some critical values." @default.
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- W2524369678 date "2015-11-01" @default.
- W2524369678 modified "2023-10-16" @default.
- W2524369678 title "Oscillations in age-structured models of consumer-resource mutualisms" @default.
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- W2524369678 doi "https://doi.org/10.3934/dcdsb.2016.21.537" @default.
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