Bifurcation analysis of an age‐structured prey–predator model with infection developed in prey
Soufiane Bentout, Salih Djilali, Abdon Atangana
Abstract
In this work, we propose an age‐structured prey–predator model with infection developed in the prey population. Our main goal is to distinguish the effect of the predator maturation measured by the age on the interaction between the predator and the prey, even on the spread of the infectious disease. However, it is obtained that the minimal maturation duration can affect the behavior of the solution, where it can lead to the existence of periodic solutions generated by the presence of Hopf bifurcation for three different equilibrium states. The obtained mathematical results are checked numerically using graphical illustrations.
Topics & Concepts
PredationMathematicsHopf bifurcationPredatorBifurcationPopulationApplied mathematicsAge structureControl theory (sociology)Statistical physicsEcologyBiologyDemographyArtificial intelligenceComputer scienceNonlinear systemPhysicsQuantum mechanicsSociologyControl (management)Mathematical and Theoretical Epidemiology and Ecology ModelsEvolution and Genetic DynamicsMathematical Biology Tumor Growth