In this paper, with the method of adaptive dynamics, we investigate the coevolution of phenotypic traits of predator and prey species. The evolutionary model is constructed from a deterministic approximation of the un...In this paper, with the method of adaptive dynamics, we investigate the coevolution of phenotypic traits of predator and prey species. The evolutionary model is constructed from a deterministic approximation of the underlying stochastic ecological processes. Firstly, we investigate the ecological and evolutionary conditions that allow for continu- ously stable strategy and evolutionary branching. We find that evolutionary branching in the prey phenotype will occur when the frequency dependence in the prey carrying capacity is not strong. Furthermore, it is found that if the two prey branches move far away enough, the evolutionary branching in the prey phenotype will induce the sec- ondary branching in the predator phenotype. The final evolutionary outcome contains two prey and two predator species. Secondly, we show that under symmetric interactions the evolutionary model admits a supercritical Hopf bifurcation if the frequency depen- dence in the prey carrying capa.city is very weak. Evolutionary cycle is a likely outcome of the nmtation-selection processes. Finally, we find that frequency-dependent selection can drive the predator population to extinction under asymmetric interactions.展开更多
Pancreatic ribonuclease,which is encoded by RNase1,is a digestive enzyme secreted by the pancreas of vertebrates,and has been recognized to be a classic example for molecular evolutionary studies due to the frequent o...Pancreatic ribonuclease,which is encoded by RNase1,is a digestive enzyme secreted by the pancreas of vertebrates,and has been recognized to be a classic example for molecular evolutionary studies due to the frequent occurrence of gene duplication and functional divergence in organisms（Zhang et al.,2002,2006;Yu and Zhang,2006;Yu et al.,2010;Xu et al.,2013;Liu et al.,2014）.RNase1 has been extensively studied in many mammals,展开更多
In this paper,we develop a single species evolutionary model with a continuous phenotypic trait in a pulsed pollution discharge environment and discuss the effects of pollution on the individual size of the species.Th...In this paper,we develop a single species evolutionary model with a continuous phenotypic trait in a pulsed pollution discharge environment and discuss the effects of pollution on the individual size of the species.The invasion fitness function of a moiiomorphic species is given,which involves the long-term average exponential growth rate of the species. Then the critical function analysis method is used to obtain the evolutionary dynamics of the system,which is related to interspecific competition intensity between mutant species and resident species and the curvature of the trade-off between individual size and the intrinsic growth rate.We conclude that,the pollution affects the evolutionary traits and evolutionary dynamics.The worsening of the pollution can lead to rapid stable evolution toward a smaller individual size,while the opposite is more likely to generate evolutionary branching and promote species diversity.The adaptive dynamics of coevolution of dimorphic species is further analyzed when evolutionary branching occurs.展开更多
文摘In this paper, with the method of adaptive dynamics, we investigate the coevolution of phenotypic traits of predator and prey species. The evolutionary model is constructed from a deterministic approximation of the underlying stochastic ecological processes. Firstly, we investigate the ecological and evolutionary conditions that allow for continu- ously stable strategy and evolutionary branching. We find that evolutionary branching in the prey phenotype will occur when the frequency dependence in the prey carrying capacity is not strong. Furthermore, it is found that if the two prey branches move far away enough, the evolutionary branching in the prey phenotype will induce the sec- ondary branching in the predator phenotype. The final evolutionary outcome contains two prey and two predator species. Secondly, we show that under symmetric interactions the evolutionary model admits a supercritical Hopf bifurcation if the frequency depen- dence in the prey carrying capa.city is very weak. Evolutionary cycle is a likely outcome of the nmtation-selection processes. Finally, we find that frequency-dependent selection can drive the predator population to extinction under asymmetric interactions.
基金supported by grants from the Yunnan Provincial Education Fund project in Scientific Research to X.P.W.(No.2015Y003)the Yunnan Applied Basic Research Project to D.T.Lthe National Youth Talent Support Program to L.Y
文摘Pancreatic ribonuclease,which is encoded by RNase1,is a digestive enzyme secreted by the pancreas of vertebrates,and has been recognized to be a classic example for molecular evolutionary studies due to the frequent occurrence of gene duplication and functional divergence in organisms（Zhang et al.,2002,2006;Yu and Zhang,2006;Yu et al.,2010;Xu et al.,2013;Liu et al.,2014）.RNase1 has been extensively studied in many mammals,
基金This work is supported by the National Natural Science Foundation of China(11371030)the Natural Science Foundation of Liaoning Province(20170540001)Liaoning Bai Qian Wan Talents Program.
文摘In this paper,we develop a single species evolutionary model with a continuous phenotypic trait in a pulsed pollution discharge environment and discuss the effects of pollution on the individual size of the species.The invasion fitness function of a moiiomorphic species is given,which involves the long-term average exponential growth rate of the species. Then the critical function analysis method is used to obtain the evolutionary dynamics of the system,which is related to interspecific competition intensity between mutant species and resident species and the curvature of the trade-off between individual size and the intrinsic growth rate.We conclude that,the pollution affects the evolutionary traits and evolutionary dynamics.The worsening of the pollution can lead to rapid stable evolution toward a smaller individual size,while the opposite is more likely to generate evolutionary branching and promote species diversity.The adaptive dynamics of coevolution of dimorphic species is further analyzed when evolutionary branching occurs.
