Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
April 15, 2026Mathematical Modelling and Numerical Simulation with Applications

Optimal control and bifurcation analysis of a predator–prey model with self-limiting growth and predator disease

View Full Paper
Ask AI
Bookmark
Share

Authors

DADipo AldilaMFMuhammad Akmal FasyaBHB. D. Handari

Discussion

Loading...

Member takes

Overview

Eco-epidemiological model explores disease's impact on predator–prey dynamics, suggesting strategies for coexistence.

Key Points

  • Examine an eco-epidemiological predator-prey model to understand how disease affects dynamics and control efforts.
  • Developed a model using ordinary differential equations for predator-prey dynamics.
  • Analyzed equilibria: predator extinction, disease-free coexistence, and endemic disease coexistence.
  • Assessed stability and existence of equilibria using ecological thresholds.
  • Utilized numerical continuation methods to investigate bifurcation phenomena.
  • Implemented optimal control strategies for managing infected predator populations.
  • Identified conditions under which predator disease persists despite low basic reproduction number.
  • Demonstrated backward bifurcation due to reduced predation efficiency in infected predators.
  • Showed that careful management can suppress disease while maintaining predator-prey balance and minimizing costs.

Cite This Study

Aldila et al. (2026) studied this question.

synapsesocial.com/papers/69df2ba0e4eeef8a2a6b09b0https://doi.org/10.53391/2791-8564.1021
View Full Paper
Ask AI
Bookmark
Share