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RESEARCH PRODUCT
Diseased Social Predators
Marta PaligaEzio VenturinoFrank Hilkersubject
Genetics and Molecular Biology (all)0106 biological sciences0301 basic medicinegenetic structuresPopulation DynamicsBasic Reproduction NumberBiochemistry01 natural sciencesCommunicable DiseasePredationMathematical modelBehavioral ecologyCooperative BehaviorPredatorMathematical ConceptGeneral Environmental ScienceAllee effectBehavioral ecology; Eco-epidemiology; Foraging facilitation; Group living; Hunting cooperation; Mathematical model; Neuroscience (all); Immunology; Mathematics (all); Biochemistry Genetics and Molecular Biology (all); 2300; Pharmacology; Agricultural and Biological Sciences (all); Computational Theory and Mathematicseducation.field_of_studyEco-epidemiologyEcologyGeneral Neuroscience010601 ecologyGroup livingComputational Theory and MathematicsFacilitationsymbolsLinear ModelGeneral Agricultural and Biological SciencesFood ChainGeneral MathematicsPopulationForagingImmunologyBehavioral ecologyBiologyCommunicable DiseasesModels BiologicalGeneral Biochemistry Genetics and Molecular Biology03 medical and health sciencessymbols.namesakeSettore MAT/08 - Analisi NumericaAnimalsMathematics (all)educationSocial BehaviorPharmacologyPopulation DynamicNeuroscience (all)Biochemistry Genetics and Molecular Biology (all)2300AnimalHunting cooperationSmall population sizeMathematical Concepts030104 developmental biologyForaging facilitationAgricultural and Biological Sciences (all)Predatory BehaviorLinear Modelsdescription
Social predators benefit from cooperation in the form of increased hunting success, but may be at higher risk of disease infection due to living in groups. Here, we use mathematical modeling to investigate the impact of disease transmission on the population dynamics benefits provided by group hunting. We consider a predator-prey model with foraging facilitation that can induce strong Allee effects in the predators. We extend this model by an infectious disease spreading horizontally and vertically in the predator population. The model is a system of three nonlinear differential equations. We analyze the equilibrium points and their stability as well as one- and two-parameter bifurcations. Our results show that weakly cooperating predators go unconditionally extinct for highly transmissible diseases. By contrast, if cooperation is strong enough, the social behavior mediates conditional predator persistence. The system is bistable, such that small predator populations are driven extinct by the disease or a lack of prey, and large predator populations survive because of their cooperation even though they would be doomed to extinction in the absence of group hunting. We identify a critical cooperation level that is needed to avoid the possibility of unconditional predator extinction. We also investigate how transmissibility and cooperation affect the stability of predator-prey dynamics. The introduction of parasites may be fatal for small populations of social predators that decline for other reasons. For invasive predators that cooperate strongly, biocontrol by releasing parasites alone may not be sufficient.
year | journal | country | edition | language |
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2017-01-01 |