Figure 1

Dynamical behavior of system (3) with \(\beta =0.1, \eta =0.2, \lambda _1=0.1, \Pi = 5.1, \mu =1, b=0.3, \lambda _2=0.15, \rho = 1, T= 1, d= 1, K= 2, \varpi = 1, \tau _1= 1.5, \tau _2= 1, \xi = 0.02, \theta _1=0.1, \theta =0.5, d_1= 0.2,\) and all the parameters satisfy \(R_1^*=0.6498<1.\) (a) (I(t), E(t), S(t));  (b) trajectory of the susceptible pest S(t);  (c) trajectory of the exposed pest E(t);  (d) trajectory of the infected pest I(t);  (e) trajectory of the asymptotically infected pest A(t);  (f) trajectory of the total population of pest N(t);  (g) trajectory of the reservoir or the seafood place or market M(t).