0000000000851066

AUTHOR

Ezio Venturino

showing 3 related works from this author

On basins of attraction for a predator-prey model via meshless approximation

2016

Abstract. In this work an epidemiological predator-prey model is studied. It analyzes the spread of an infectious disease with frequency-dependent and vertical transmission within the predator population. In particular we consider social predators, i.e. they cooperate in groups to hunt. The result is a three-dimensional system in which the predator population is divided into susceptible and infected individuals. Studying the dynamical system and bifurcation diagrams, a scenario was identified in which the model shows multistability but the domain of attraction of one equilibrium point can be so small that it is almost the point itself. From a biological point of view it is important to anal…

Equilibrium pointMathematical optimizationeducation.field_of_studyPopulationSeparatrixPhase planeDynamic systemAttractionPredationSettore MAT/08 - Analisi NumericaPhysics and Astronomy (all)Applied mathematicsBasin of attractioneducationPredatorBifurcationMultistabilityMathematics
researchProduct

Separatrix reconstruction to identify tipping points in an eco-epidemiological model

2018

Many ecological systems exhibit tipping points such that they suddenly shift from one state to another. These shifts can be devastating from an ecological point of view, and additionally have severe implications for the socio-economic system. They can be caused by overcritical perturbations of the state variables such as external shocks, disease emergence, or species removal. It is therefore important to be able to quantify the tipping points. Here we present a study of the tipping points by considering the basins of attraction of the stable equilibrium points. We address the question of finding the tipping points that lie on the separatrix surface, which partitions the space of system traj…

State variableMathematical optimizationRadial basis functionComputer scienceSeparatrixApplied MathematicsStable equilibriumComputational mathematics010103 numerical & computational mathematicsDynamical systemDynamical system01 natural sciences010101 applied mathematicsRegime shiftComputational MathematicsGroup huntingSettore MAT/08 - Analisi NumericaMoving Least Squares approximationAllee threshold; Dynamical system; Group hunting; Moving Least Squares approximation; Radial basis function; Regime shift; Computational Mathematics; Applied MathematicsRegime shiftPoint (geometry)Statistical physics0101 mathematicsMoving least squaresAllee threshold
researchProduct

Diseased Social Predators

2017

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. …

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 Models
researchProduct