Question: solve simultaneous eq

Hi, I would like to solve for i and c in this system. But whenever I try to solve it, it give a warning message "the solution may have been lost"

eq:={rho*(psi*i+psi*epsilon*c)*(1-i-phi*((`ϑ`+mu)*(mu+delta)*(1-i-c)-beta*c*(`ϑ`+mu)-xi*i*(mu+delta))/((`ϑ`+mu)*(mu+delta)*(phi+omega+`ε`*psi*i+`ε`*epsilon*psi*c+mu))-c-(tau*`ϑ`*xi*i+beta*c*`ϑ`+beta*c*mu)/((`ϑ`+mu)*(mu+delta))-xi*i/(`ϑ`+mu)+`ε`*phi*((`ϑ`+mu)*(mu+delta)*(1-i-c)-beta*c*(`ϑ`+mu)-xi*i*(mu+delta))/((`ϑ`+mu)*(mu+delta)*(phi+omega+`ε`*psi*i+`ε`*epsilon*psi*c+mu)))-(PI+beta+mu+alpha*i)*c+alpha*i*c = 0, (1-rho)*(psi*i+psi*epsilon*c)*(1-i-phi*((`ϑ`+mu)*(mu+delta)*(1-i-c)-beta*c*(`ϑ`+mu)-xi*i*(mu+delta))/((`ϑ`+mu)*(mu+delta)*(phi+omega+`ε`*psi*i+`ε`*epsilon*psi*c+mu))-c-(tau*`ϑ`*xi*i+beta*c*`ϑ`+beta*c*mu)/((`ϑ`+mu)*(mu+delta))-xi*i/(`ϑ`+mu)+`ε`*phi*((`ϑ`+mu)*(mu+delta)*(1-i-c)-beta*c*(`ϑ`+mu)-xi*i*(mu+delta))/((`ϑ`+mu)*(mu+delta)*(phi+omega+`ε`*psi*i+`ε`*epsilon*psi*c+mu)))+PI*c+(1-tau)*`ϑ`*xi*i/(`ϑ`+mu)-(alpha+xi+mu+alpha*i)*i+alpha*i^2 = 0}

solve(eq, [i, c])