In the following paper, we have constructed a stochastic cellular automaton model that is formulated from a predator-prey system of ordinary differential equations (ODE), which is ratio-dependent. The proposed cellular automaton (CA) model is formulated by drawing guidance from a corresponding predator-prey model, with population-level trends informing the design of local update mechanisms. The proposed model accounts for two-species interaction between a prey population that reproduces and a predator population that relies on prey availability for survival. In contrast to classical well-mixed models, our approach considers the inherent randomness of the environment, inclusive of factors such as clustering and movement that influence persistence, extinction, and coexistence of species. The model is defined by a two-dimensional stochastic cellular automaton (SCA), where each site in the lattice can assume one of three possible states: unoccupied, occupied by prey, or occupied by predator. The dynamics involving the two species are governed by local neighbourhood interactions coupled with movement-based feedback. Furthermore, the CA model reproduces fundamental ecological patterns through simulation.

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Cellular Automata Model of Predator–Prey Dynamics with Stochastic Movement Feedback

  • Sabana Anwar,
  • Sudhakar Sahoo

摘要

In the following paper, we have constructed a stochastic cellular automaton model that is formulated from a predator-prey system of ordinary differential equations (ODE), which is ratio-dependent. The proposed cellular automaton (CA) model is formulated by drawing guidance from a corresponding predator-prey model, with population-level trends informing the design of local update mechanisms. The proposed model accounts for two-species interaction between a prey population that reproduces and a predator population that relies on prey availability for survival. In contrast to classical well-mixed models, our approach considers the inherent randomness of the environment, inclusive of factors such as clustering and movement that influence persistence, extinction, and coexistence of species. The model is defined by a two-dimensional stochastic cellular automaton (SCA), where each site in the lattice can assume one of three possible states: unoccupied, occupied by prey, or occupied by predator. The dynamics involving the two species are governed by local neighbourhood interactions coupled with movement-based feedback. Furthermore, the CA model reproduces fundamental ecological patterns through simulation.