Cellular automata based simulation of random versus selective harvesting strategies in predator–prey systems

2008 ◽  
Vol 3 (3) ◽  
pp. 252-258 ◽  
Author(s):  
Shen Qu ◽  
Qiuwen Chen ◽  
Friedrich Recknagel
Keyword(s):  
Cellular Automata ◽  
Predator Prey ◽  
Selective Harvesting

scholarly journals Discrete-Time Predator-Prey Interaction with Selective Harvesting and Predator Self-Limitation

2020 ◽  
Vol 2020 ◽  
pp. 1-13
Author(s):  
Zhihua Chen ◽  
Qamar Din ◽  
Muhammad Rafaqat ◽  
Umer Saeed ◽  
Muhammad Bilal Ajaz
Keyword(s):  
Discrete Time ◽  
Chaotic Behavior ◽  
Period Doubling ◽  
State Feedback Control ◽  
Time Model ◽  
Predator Prey ◽  
Selective Harvesting ◽  
Predator Prey Model ◽  
Prey System ◽  
Prey Interaction

Selective harvesting plays an important role on the dynamics of predator-prey interaction. On the other hand, the effect of predator self-limitation contributes remarkably to the stabilization of exploitative interactions. Keeping in view the selective harvesting and predator self-limitation, a discrete-time predator-prey model is discussed. Existence of fixed points and their local dynamics is explored for the proposed discrete-time model. Explicit principles of Neimark–Sacker bifurcation and period-doubling bifurcation are used for discussion related to bifurcation analysis in the discrete-time predator-prey system. The control of chaotic behavior is discussed with the help of methods related to state feedback control and parameter perturbation. At the end, some numerical examples are presented for verification and illustration of theoretical findings.

FINAL STATE OF ECOSYSTEM CONTAINING GRASS, SHEEP AND WOLVES WITH AGING

2005 ◽  
Vol 16 (01) ◽  
pp. 177-190 ◽  
Author(s):  
MINGFENG HE ◽  
QIU-HUI PAN ◽  
SHUANG WANG
Keyword(s):  
Cellular Automata ◽  
Energy Supply ◽  
Birth Rate ◽  
Reproduction Number ◽  
Final States ◽  
Final State ◽  
Cellular Automata Model ◽  
Predator Prey ◽  
Prey System ◽  
Age Structured

This paper describes a cellular automata model containing movable wolves, sheep and reproducible grass. Each wolf or sheep is characterized by Penna bitstrings. In addition, we introduce the energy rule and the predator–prey mechanism for wolf and sheep. With considering age-structured, genetic strings, minimum reproduction age, cycle of the reproduction, number of offspring, we get three possible states of a predator–prey system: the coexisting one with predators and prey, the absorbing one with prey only, and the empty one where no animal survived. In this paper, we mainly discuss the effect of the number of poor genes, the energy supply (food), the minimum reproduction age, the reproductive cycle and the birth rate on the above three possible final states.

Using cellular automata to study patchy spread in a predator-prey system

2012 ◽  
Vol 32 (6) ◽  
pp. 1773-1782
Author(s):  
杨立 YANG Li ◽  
李维德 LI Weide
Keyword(s):  
Cellular Automata ◽  
Predator Prey ◽  
Prey System

scholarly journals A PREDATOR–PREY MODEL BASED ON THE FULLY PARALLEL CELLULAR AUTOMATA

2003 ◽  
Vol 14 (09) ◽  
pp. 1237-1249 ◽  
Author(s):  
MINGFENG HE ◽  
HONGBO RUAN ◽  
CHANGLIANG YU
Keyword(s):  
Child Care ◽  
Cellular Automata ◽  
Sexual Reproduction ◽  
Mutation Rate ◽  
Lattice Model ◽  
Linear Size ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Model Based ◽  
Definition Of

We presented a predator–prey lattice model containing moveable wolves and sheep, which are characterized by Penna double bit strings. Sexual reproduction and child-care strategies are considered. To implement this model in an efficient way, we build a fully parallel Cellular Automata based on a new definition of the neighborhood. We show the roles played by the initial densities of the populations, the mutation rate and the linear size of the lattice in the evolution of this model.

Age-selective harvesting in a delayed predator–prey model with fear effect

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Ashok Mondal ◽  
Amit K. Pal
Keyword(s):  
Hopf Bifurcation ◽  
Predator Population ◽  
Ecological Management ◽  
Predator Prey ◽  
Selective Harvesting ◽  
Predator Prey Model ◽  
Elapsed Time ◽  
Fear Effect ◽  
Prey Model ◽  
Fear Effects

Abstract In this article, we discussed the dynamic behavior of a delay-induced harvested predator–prey model with fear effects (perceived by the prey). We then considered selective harvesting terms for both species which provide some fixed elapsed time to the prey and for the predator population before they are harvested. In other words, we are limiting the harvesting of species below a certain age so that they can grow to a certain specific size or age and thus protect juvenile populations. Reproduction of the prey population can also be greatly impeded due to the influence of the fear effect. The consideration of selective harvesting together with the effect of fear on the proposed system to show stable coexistence to the oscillatory mode and vice versa via Hopf-bifurcation. For better ecological management of the community, our study reveals the fact that collection delays and intensities should be maintained. Numerical simulations were performed to validate our analytical results.

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