Forestry

Quantum mechanics

Hopf bifurcation

Control (management)

Demography

Ecology

Bifurcation

Biology

Predation

Applied mathematics

Functional response

Predator

Stability (learning theory)

Herd behavior

Computer science

Herd

Physics

Nonlinear system

Mathematics

Geography

Population

Sociology

Artificial intelligence

Herding

Control theory (sociology)

Machine learning

Chaos Solitons & Fractals

In this paper, a delayed predator-prey model with the presence of a social behavior for the prey population has been investigated. A new functional response is obtained. We studied the effect of the herd shape for the prey population on the prey and predator equilibrium densities. The analysis of the system has been also established where the boundedness, stability, Hopf bifurcation, stability of Hopf bifurcation are obtained.

Impact of prey herd shape on the predator-prey interaction