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Group defense promotes coexistence in interference competition: The Holling type IV competitive response

Hamlet Humberto Castillo-Alvino, Marcos Marvá

2022Mathematics and Computers in Simulation11 citationsDOIOpen Access PDF

Abstract

We investigate the role of group defense in the context of species interference competition by incorporating a Holling type IV like interaction term into the classical model. We have found a trade-off between species competitive strength and defense efficiency that reduces inter-species competition pressure. Thus, group defense promotes both each species probability of survival and species coexistence in two different ways: (i) Enlarging the range of parameter values yielding species survival/coexistence and (ii) Allowing for multi-stability scenarios, including global coexistence through several simultaneous coexistence asymptotically stable states that, to our knowledge, have not been previously reported in pure interference competition models.

Topics & Concepts

Competition (biology)Context (archaeology)Interference (communication)Group (periodic table)Stability (learning theory)Coexistence theoryCompetition modelMathematicsEcologyBiologyComputer scienceEconomicsMicroeconomicsPhysicsMachine learningQuantum mechanicsProfit (economics)Channel (broadcasting)Computer networkPaleontologyPlant and animal studiesMathematical and Theoretical Epidemiology and Ecology ModelsEcology and Vegetation Dynamics Studies
Group defense promotes coexistence in interference competition: The Holling type IV competitive response | Litcius