Computational Complex Predator-prey Dynamics
نویسندگان
چکیده
Two species predator-prey with stage structure of mature and immature mathematical models are studied over the last few decades. Xin-an Zhang et al studied a mathematical model with stage structure of two species in 2010. In this article, an attempt has been made to comprehend the coupled predator-prey dynamics with mature-immature stage structure and compare the dynamics with the existing model. The present model studied by Xin-an Zhang et al is purely realistic with assumptions of positive parameters. From the mathematical curiosity, we wonder to investigate the same with complex parameters and compared with the foreseen results. In addition, the present model is slightly modified to see some new dynamics of some additional fixed point including the previous fixed points.
منابع مشابه
Dynamics of an eco-epidemic model with stage structure for predator
The predator-prey model with stage structure for predator is generalized in the context of ecoepidemiology, where the prey population is infected by a microparasite and the predator completely avoids consuming the infected prey. The intraspecific competition of infected prey is considered. All the equilibria are characterized and the existence of a Hopf bifurcation at the coexistence equilibriu...
متن کاملLIMITED GROWTH PREY MODEL AND PREDATOR MODEL USING HARVESTING
In this paper, we have proposed a study on controllability and optimal harvestingof a prey predator model and mathematical non linear formation of the equation equilibriumpoint of Routh harvest stability analysis. The problem of determining the optimal harvestpolicy is solved by invoking Pontryagin0s maximum principle dynamic optimization of theharvest policy is studied by taking the combined h...
متن کاملStability analysis of a fractional order prey-predator system with nonmonotonic functional response
In this paper, we introduce fractional order of a planar fractional prey-predator system with a nonmonotonic functional response and anti-predator behaviour such that the adult preys can attack vulnerable predators. We analyze the existence and stability of all possible equilibria. Numerical simulations reveal that anti-predator behaviour not only makes the coexistence of the prey and predator ...
متن کاملPrey-Predator System; Having Stable Periodic Orbit
The study of differential equations is useful in to analyze the possible past or future with help of present information. In this paper, the behavior of solutions has been analyzed around the equilibrium points for Gause model. Finally, some results are worked out to exist the stable periodic orbit for mentioned predator-prey system.
متن کاملThreshold harvesting policy and delayed ratio-dependent functional response predator-prey model
This paper deals with a delayed ratio-dependent functional response predator-prey model with a threshold harvesting policy. We study the equilibria of the system before and after the threshold. We show that the threshold harvesting can improve the undesirable behavior such as nonexistence of interior equilibria. The global analysis of the model as well as boundedness and permanence properties a...
متن کاملThe Dynamical Analysis of a Delayed Prey-Predator Model with a Refuge-Stage Structure Prey Population
A mathematical model describing the dynamics of a delayed stage structure prey - predator system with prey refuge is considered. The existence, uniqueness and bounded- ness of the solution are discussed. All the feasibl e equilibrium points are determined. The stability analysis of them are investigated. By employ ing the time delay as the bifurcation parame...
متن کامل