Word Count : 281

---

Consider the autonomous system describing the prey (N_1), predator (N_2), toxicant concentration in prey (C_0), toxicant concentration in predator (V_0), and environmental toxicant (P). Equilibrium points are obtained by setting all time derivatives equal to zero. From [ \frac{dC_0}{dt}=k_1P-(g_1+m_1)C_0=0,\qquad \frac{dV_0}{dt}=k_2P-(g_2+m_2)V_0=0, ] one gets [ C_0^*=\frac{k_1}{g_1+m_1}P^*,\qquad V_0^*=\frac{k_2}{g_2+m_2}P^*. ] From [ \frac{dN_1}{dt}=N_1(r_0-r_1C_0-bN_2)=0,\qquad \frac{dN_2}{dt}=N_2(-d_0-d_1V_0+\beta_0 bN_1)=0, ] a coexistence equilibrium with (N_1^*>0,;N_2^*>0) satisfies [ r_0-r_1C_0^*-bN_2^*=0,\qquad -d_0-d_1V_0^*+\beta_0 bN_1^*=0, ] giving [ N_2^*=\frac{r_0-r_1C_0^*}{b},\qquad N_1^*=\frac{d_0+d_1V_0^*}{\beta_0 b}. ] _______ _______ _______ ______ _____ ____ __________ __________ _____.
________ _______ _______ _______ _____ ________ ____ __________ ____ ____ ______ _________.
_____ ______ ______ _______ _____ ____ ______ _______ ___ ___ ______ __________.
________ _________ ________ ___ _____ _______ ___ __________.
_________ ____ _______ ____ _____ ______ _______ ______.
________ _________ _____ _________ _________ _______ ___ ______ __________ ________.
___ _______ ____ ___ ____ ________ _____ ____ ______.
________ _____ _____ _____ _________ ______ ____ __________.
____ _____ _________ _______ ______ _________ _________ __________ _________ _____ _____ _________.
_________ _________ ________ ______ ________ _______ ________ ____ __________ ______.
______ ________ ________ ________ ______.
_________ _____ ___ ____ __________ _____ _______ _______.
_____ _________ _________ _________ ________ ____.
_________ ___ ________ _____ _____.
_____ ____ ________ __________ ___ _____.
_______ _______ _______ ______ __________ ________ ____ _______ _____.
_____ ________ __________ ________ _____.
________ ________ _______ ____ _________ _________ __________ ____ ________ ____ ________.
__________ _________ _____ _____ _________ _________ ____ ________.
____ ________ ______ _______ _____ ___ ______ ___ ____ _____.
______ ________ ____ ___ _____ ________ _____.
_____ _____ _____ ______ __________ _______.
_______ _______ _________ ___ ______ _________.
_________ ______ _____ ________ _______ _____ _______ ____ ________ __________.
_________ _________ __________ ____ __________ ________ __________ __________ ___ _____ _________.
Get Full Answer on WhatsApp